Question
Identify the y-intercept of the following:
27x - 9y = 27
- y - intercept = - 3
- y - intercept = 3
- y - intercept = 1
- y - intercept = 27
Hint:
In a given linear equation, to find the y-intercept of the equation, we need to substitute x = 0 and then after solving the equation, we will get y equal to some value. That value is the y-intercept.
The correct answer is: y - intercept = - 3
Step by step solution:
To find the y-intercept, we need to substitute x = 0 and fin the value of y.




Thus, the y-intercept is -3
Hence, option(d) is the correct option.
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In mathematics, the equation of a straight line describes the relationship between the coordinate points that comprise that line. It can be expressed in several ways and contains information about a line's slope, x-intercept, and y-intercept.
A straight line's standard form is given by the equation ax + by = c, where a, b, and c are real numbers. Let's illustrate how to put the equation y = 3x - 1 in standard form. Add 2x to neither side of the equation, and we get
y - 3x = 3x - 1 - 3x
= y - 3x = -1
= 3x - y = 1
As a result, we arrive at the line's standard form, which is 3x - y = 1
Calculate the slope of the following 12x - 6y = 30.
In mathematics, the equation of a straight line describes the relationship between the coordinate points that comprise that line. It can be expressed in several ways and contains information about a line's slope, x-intercept, and y-intercept.
A straight line's standard form is given by the equation ax + by = c, where a, b, and c are real numbers. Let's illustrate how to put the equation y = 3x - 1 in standard form. Add 2x to neither side of the equation, and we get
y - 3x = 3x - 1 - 3x
= y - 3x = -1
= 3x - y = 1
As a result, we arrive at the line's standard form, which is 3x - y = 1