Question

can you please help me

Answer 1

The slope intercept form is y = m x + b

We need to put the equation -x + 4y = -8 in this form

At first, add both sides by x

$\begin{gathered} -x+x+4y=-8+x \\ 4y=-8+x \end{gathered}$

Then divide both sides by 4 to make the coefficient of y = 1

$\frac{4y}{4}=\frac{-8}{4}+\frac{x}{4}$

-8/4 = -2

x/4 = 1/4 x

$y=-2+\frac{1}{4}x$

Now switch -2 and 1/4 x

$y=\frac{1}{4}x-2$

Let us find which choice is?

It is the first one for the equation

Let us choose the graph

For the graph, the line intersects the y-axis at (0, -2)

The slope is positive, then its direction to the right

The x-intercept is (8, 0)

Then it is the last graph you post with equation y = 1/4 x - 2

Do you see it