You want this in slope-intercept form, which is : y=mx+b
Where m = slope, and b = y-intercept
To find the slope, pick two points on the line given to us :)
I have decided to pick the points : (0, -4) and (4, -3)
To solve for the slope, we use the slope equation, which is : m = y₂-y₁ / x₂-x₁
** In this case, y₂ = -3 ; y₁ = -4 ; x₂ = 4 ; x₁ = 0 **
Simply plug everything in :)
m = -3 - (-4) / 4 - 0
Simplify.
m = -3 + 4 / 4
Simplify.
m = 1/4
So, our slope is 1/4.
Now we need to find the y-intercept.
** Remember : The y-intercept is the point in which our given line passes (goes) through the y-axis **
So, please go look at our line. As you can see, our y-intercept is -4, as that is the point in which our line passes through the y-axis.
So, the slope is 1/4 & the y-intercept is -4.
Slope-intercept form : y = mx + b
Plug everything in.
y = 1/4x - 4 is your final answer.
~Hope I helped!~