Question
For the linear function f, the graph of y = f(x) in the xy-plane passes through the points (0, 2) and (2, 6). Which equation defines f?
- y = 2x + 2
- y = 3x + 2
The correct answer is: y = 2x + 2
Slope
Y = mx + C
Y = 2x + C
Related Questions to study
In triangle ABC, the measure of angle C is 90°. If sin A= 
, what is cos B ?
In triangle ABC, the measure of angle C is 90°. If sin A= , what is cos B ?
2a + b = 17
a+ 2b = 19
The solution to the given system of equations is (a, b). What is the value of 3a + 3b ?
2a + b = 17
a+ 2b = 19
The solution to the given system of equations is (a, b). What is the value of 3a + 3b ?
The daily high temperatures, in degrees Fahrenheit, for a city in the month of February in 2017 are summarized in the box plot shown. Which of the following is closest to the median of the high temperatures, in degrees Fahrenheit, of the city in February 2017?
The daily high temperatures, in degrees Fahrenheit, for a city in the month of February in 2017 are summarized in the box plot shown. Which of the following is closest to the median of the high temperatures, in degrees Fahrenheit, of the city in February 2017?
The table shows the maximum depth, in meters, of the 5 deepest oceanic trenches.
|
Trench name |
Depth (meters) |
| Kermadec |
10,047 |
| Kuril-Kamchatka |
10,500 |
| Mariana |
11,033 |
| Philippine |
10,540 |
| Tonga |
10,882 |
The table shows the maximum depth, in meters, of the 5 deepest oceanic trenches.
|
Trench name |
Depth (meters) |
| Kermadec |
10,047 |
| Kuril-Kamchatka |
10,500 |
| Mariana |
11,033 |
| Philippine |
10,540 |
| Tonga |
10,882 |
What is the ratio of AB to BC?
What is the ratio of AB to BC?
A length of 8 furlongs is equivalent to how many meters? (Use 1 furlong= 201 meters.)
A length of 8 furlongs is equivalent to how many meters? (Use 1 furlong= 201 meters.)
If 2x + 4 = 100, what is the value of 6x + 12 ?
If 2x + 4 = 100, what is the value of 6x + 12 ?
It takes 6 hours to travel m miles. At this rate, how much time, in hours, will it take to travel 5m miles?
It takes 6 hours to travel m miles. At this rate, how much time, in hours, will it take to travel 5m miles?
In the given expression, a is a constant. The expression is equivalent to x6, where x
0. What is the value of a?
In the given expression, a is a constant. The expression is equivalent to x6, where x 0. What is the value of a?
x2 - 6x + 7 = 0
What is the sum of the solutions to the equation above?
x2 - 6x + 7 = 0
What is the sum of the solutions to the equation above?
x2 - 8x + y2 - 10y = 40
In the xy-plane, the graph of the given equation is a circle. What is the radius of this circle?
|A circle equation represents a circle's position in a cartesian plane. Suppose we know the length of its radius and the coordinates of the circle's center. Then we can write the equation of the circle. The circle equation represents all the points on the circle's circumference.
A circle can be drawn on paper if its center and radius lengths are given. Then, using the circle equation, we can draw the circle on the cartesian plane once we know the coordinates of the circle's center and radius.
There are several ways to represent a circle's equation.
• General form: x² + y² + 2gx + 2fy + c = 0.
• Standard form: (x−x1)²+(y−y1)² = r²
• Parametric form: x² + y² + 2hx + 2ky + C = 0
• Polar form: x² + y² = p²
x2 - 8x + y2 - 10y = 40
In the xy-plane, the graph of the given equation is a circle. What is the radius of this circle?
|A circle equation represents a circle's position in a cartesian plane. Suppose we know the length of its radius and the coordinates of the circle's center. Then we can write the equation of the circle. The circle equation represents all the points on the circle's circumference.
A circle can be drawn on paper if its center and radius lengths are given. Then, using the circle equation, we can draw the circle on the cartesian plane once we know the coordinates of the circle's center and radius.
There are several ways to represent a circle's equation.
• General form: x² + y² + 2gx + 2fy + c = 0.
• Standard form: (x−x1)²+(y−y1)² = r²
• Parametric form: x² + y² + 2hx + 2ky + C = 0
• Polar form: x² + y² = p²
For part of a trip, a car traveled directly away from its starting point at a constant speed. The graph shows the car's distance from its starting point, in miles, for times from 2.0 hours to 2.5 hours after the start of the trip. What was the speed of the car, in miles per hour, during this part of the trip?
For part of a trip, a car traveled directly away from its starting point at a constant speed. The graph shows the car's distance from its starting point, in miles, for times from 2.0 hours to 2.5 hours after the start of the trip. What was the speed of the car, in miles per hour, during this part of the trip?
In the xy-plane, the graph of y = 
x + b, where b is a constant, intersects the x-axis at (-6, 0). What is the value of b ?
In the xy-plane, the graph of y = x + b, where b is a constant, intersects the x-axis at (-6, 0). What is the value of b ?
y = 2x + 5
y=kx+3
In the given system of equations, k is a constant. The system has exactly one solution. Which of the following could be the value of k ?
I. 2
II. 5
A system of equations in algebra is made up of two or more equations that seek common solutions. A group of equations that all depend on the same variables is known as a "linear equation system." A system of equations is a group of equations that work together to provide a solution for all variables. Example:
• 2x - y = 12
• x - 2y = 48
Any system of equations can be solved using different methods. For example, we need at least two equations in a system of equations in two variables to solve. Similarly, we'll need at least three equations to solve a three-variable system of equations. So let us look at three different approaches to solving equations with two variables.
1. Substitution Method
2. Elimination Method
3. Graphical Method
y = 2x + 5
y=kx+3
In the given system of equations, k is a constant. The system has exactly one solution. Which of the following could be the value of k ?
I. 2
II. 5
A system of equations in algebra is made up of two or more equations that seek common solutions. A group of equations that all depend on the same variables is known as a "linear equation system." A system of equations is a group of equations that work together to provide a solution for all variables. Example:
• 2x - y = 12
• x - 2y = 48
Any system of equations can be solved using different methods. For example, we need at least two equations in a system of equations in two variables to solve. Similarly, we'll need at least three equations to solve a three-variable system of equations. So let us look at three different approaches to solving equations with two variables.
1. Substitution Method
2. Elimination Method
3. Graphical Method
