Maths-

General

Easy

Question

# Write the equation in slope-intercept form of the line that passes through the points (5, 4) and (-1, 6).

Hint:

### The slope-intercept form of a line is y = mx + c, where m Is the slope of the line and c is the y- intercept. You obtain the value of y-intercept when you take x = 0.

We are asked to find the equation of the line passing through the given points in the slope intercept form.

## The correct answer is: Hence, the slope intercept form of the line is: y equals fraction numerator negative 1 over denominator 3 end fraction x plus 19 over 3

### Step 1 of 2:

Find the slope of the line that passes through the given points;

Thus, the value of slope is: . Hence, the equation becomes, .

Step 2 of 2:

Substitute the point (5,4) in the equation to get the value of the y- intercept. Thus, we get:

15 = - 4 + 3c

15 + 4 = 3c

19 = 3c

Hence, the slope intercept form of the line is: .

The slope intercept form is y = mx + b, where m represents the slope and b represents the y-intercept. We can draw the graph of a linear equation on the x-y coordinate plane using this form of a linear equation.

Steps for determining a line's equation from two points:

Step 1: The slope formula used to calculate the slope.

Step 2: To determine the y-intercept, use the slope and one of the points (b).

Step 3: Once you know the values for m and b, we can plug them into the slope-intercept form of a line, i.e., (y = mx + b), to obtain the line's equation.

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