Convert the following equation to slope-intercept form to graph: 7x – y = –3

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.