Question

identify an equation in point-slope form for the line parallel to y=-2/3x+8 that passes through (4,-5)

Answer 1

y +5 = (-2/3)(x -4)

Explanation:

The point-slope form of an equation of a line with slope m through point (h, k) is ...

... y -k = m(x -h)

You have (h, k) = (4, -5) and a slope the same as that of the parallel line, m = -2/3. Then the equation is ...

... y -(-5) = (-2/3)(x -4)

... y +5 = (-2/3)(x -4)