Question

What is the y-intercept
7x-4y=-28

Answer 1

7x + 4y = 28
7(0) + 4y = 28
y2 = 7 x2 = 0

Y intercept : 7

Answer 2

Thus, the y-intercept of the line is 7

Explanation:

One given line can be expressed with the slope-intercept form as follows:

`y=mx+b\qquad\qquad [1]`

Where m is the slope of the line and b is the y-intercept.

We are given the following equation of the line:

7x-4y=-28

Let's transform the equation to look like the slope-intercept form [1].

Subtract 7x:

-4y=-7x-28

Divide by -4:

y=7/4x+7

Comparing with the equation [1]:

m=7/4

b=7

Thus, the y-intercept of the line is 7