The slope intercept form looks like this: y = mx + b
And the standard form looks like this: Ax + By = C
We will be algebraically manipulating the standard form into the slope intercept form.
So, we have the equation 7x - y = -3.
We need to solve for y.
We can get y on its own if we somehow take out the 7x term on the left-hand side.
What we will do is subtract 7x from each side of the equation.
(7x - y) - 7x = -3 - 7x
-y = -3 - 7x
Now we have -y = -3 - 7x. Which is in the slope intercept form. But something is little off. In the slope-intercept form, we have y = mx + b. But we have the form y = b + mx
So, let's fix that.
y = -3 - 7x becomes y = -7x + (-3)
So, y = -7x + (-3) is the answer.