Question

Put the following equation of a line into slope-intercept form, simplifying all fractions.

8y = 2x - 72
a) y = 2x - 9
b) y = x - 18
c) y = (1/4)x - 9
d) y = (1/4)x - 18

Answer 1

The equation 8y = 2x - 72 in slope-intercept form is y = (1/4)x - 9, with a slope of 1/4 and y-intercept of -9. The correct answer is option c) y = (1/4)x - 9.

Step-by-step explanation:

To convert the given equation 8y = 2x - 72 into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept, we will solve for y.

1. Divide every term of the equation by 8 to solve for y:

• 8y / 8 = (2x - 72) / 8
• y = (1/4)x - 9

So, the equation in slope-intercept form is y = (1/4)x - 9, where the slope (m) is 1/4 and the y-intercept (b) is -9.

The correct answer from the given options is therefore c) y = (1/4)x - 9.