Question

Give the coordinates of a point on the line whose equation in point-slope form is y − (−4) = 1 2 (x − 6).

Answer 1

I'm assuming that the equation should read y - (-4) = 1/2(x-6)

If so, then the equation is in the form
y-y1 = m(x-x1)
Notice how the slope m matches up with 1/2. So the slope is 1/2

Also notice that x1 and y1 match up with 6 and -4 respectively

This means the point (6,-4) is on the line

Answer: (6,-4)