Question

Rewrite the following equation in slope-intercept form: 5x - 2y = 7. Write your answer using integers, proper fractions, and improper fractions in simplest form.

a. y = (5/2)x - 7/2
b. y = (2/5)x - 7/2
c. y = (5/2)x + 7/2
d. y = (2/5)x + 7/2

Answer 1

To rewrite the equation 5x - 2y = 7 in slope-intercept form, subtract 5x from both sides and divide by -2 to solve for y. The correct answer is y = (5/2)x - 7/2.

Step-by-step explanation:

To rewrite the equation 5x - 2y = 7 in slope-intercept form, we need to isolate the y-variable on one side of the equation. To do this, we can start by subtracting 5x from both sides to get -2y = -5x + 7. Next, divide both sides of the equation by -2 to solve for y and simplify the fractions:

-2y/-2 = (-5x + 7)/-2

y = (5/2)x - 7/2

Therefore, the equation in slope-intercept form is y = (5/2)x - 7/2. So, the correct answer is a. y = (5/2)x - 7/2.