The slope-intercept form of the equation of a line that passes through point (-3, 8) is y = -3x + 6. What is the point-slope form
of the equation for this line?

Hello, I think there is an error in the problem. (-3,8) is NOT a point that y=-3x+6 passes through. I believe the slope intercept form should be y=-3x-1.

Step-by-step explanation:

The slope-intercept form is . Now, the point-slope form is basically a manipulation. They are both equal to each other. The equation for point-slope form is .

We can easily plug in the m of the equation.

Since the problem gives us a pair of coordinates, we can plug them into and .

It is important to check and see if this point-slope form is equal to the slope intercept form.

Step-by-step explanation:

Subtract 3 from both sides:

Expand:

Subtract 3 from both sides:

Divide both sides by 8: