Question

Write the slope-intecept form of the equation of the line using the following:

through :(3,-1)perp. to y = -3/4x +5. please explain the steps to solve this.

Thank You!

Answer 1

y = -3/4x + 5.....the slope here is -3/4...but for a perpendicular line, we need the negative reciprocal slope. All that means is " flip " the slope and change the sign. So the slope we need is 4/3 (see how I flipped the slope and changed the sign)

now we use y = mx + b
slope(m) = 4/3
(3,-1)...x = 3 and y = -1
now we sub and solve for b, the y int
-1 = 4/3(3) + b
-1 = 4 + b
-1 - 4 = b
-5 = b

so ur perpendicular line is : y = 4/3x - 5