Question

Write the slope-intercept form of the equation of the line passing through the point (4, 5) and perpendicular to the line y =3/8x + 3.

Answer 1

Explanation:

Because the lines are perpendicular the slopes will be negtive

reciprocals of each other. Thus slope of 3/8 becomes -8/3.

Using point slope formula: y - y1 = m(x - x1)

Substitute the point given with the new slope and solve.

y - 5 = -8/3(x - 4)

y - 5 = -8/3x - - 32/3

y - 5 = -8/3x + 32/3

y - 5 + 5 = -8/3x + 32/3 + 5

y = -8/3x + 47/3

or

y = -8/3x + 15 2/3