What is the equation in slope y-intercept form for the line that passed through the point (8,-3) and has a y-intecept of -2

So the equation of the line with a slope of which goes through the point (,) is:

which is now in form where the slope is and the y-intercept is

Notice if we graph the equation and plot the point (,), we get (note: if you need help with graphing, check out this solver)

Step-by-step explanation:

where is the slope, and is the given point

So lets use the Point-Slope Formula to find the equation of the line

Plug in , , and (these values are given)

Distribute

Multiply and to get

Add 6 to both sides to isolate y

Combine like terms and to get