Question

What value of b will make the point (4,-3) lie on the line y=bx-2 in the standard (x,y) coordinate plane?

Answer 1

Plug the coordinates of the point in the equation and solve for b:

$y=bx-2 \iff -3=4b-2 \iff 4b=-1 \iff b=-\dfrac{1}{4}$