Question

What is the slope-intercept form of the equation 7x - 5y = 20?

A) y = 7x - 20
B) y = (7/5)x - 4
C) y = -(7/5)x - 4
D) y = (5/7)x + 4

Answer 1

The slope-intercept form of the given equation 7x - 5y = 20 is y = (7/5)x - 4.

Step-by-step explanation:

The slope-intercept form of an equation is given by y = mx + b, where m is the slope and b is the y-intercept.

For the equation 7x - 5y = 20, we need to rearrange it to the form y = mx + b.

First, subtract 7x from both sides:

-5y = -7x + 20.

Then, divide both sides by -5 to isolate y:

y = (7/5)x - 4.

Therefore, the slope-intercept form of the equation is y = (7/5)x - 4, which corresponds to option B.