What's the answer

Question

Find the equation of the line though point (5,4) and perpendicular to y= -4/3x-2

Answer 1

Hello, Destynn,

A perpendicular line has a slope that is the negative inverse of the slope of the reference li ne. For y= -4/3x-2, whose slope is -4/3, the negative inverse would be +3/4.

The perpendicular line would thus have this form:

y=(3/4)x + b

We can find b, the y-intercept, by using the point, (5,4) and solving for b:

5=(3/4)4 + b

b = 2

The equation thus becomes: y = (3/4)x + 2

Bob

Answer 2

perpendicular lines have slope that's the negative inverse: 3/4. change the sign of -4/3 and flip the fraction upside down

y=(3/4)x + b. to solve for b plug in the point (5,4)

4 = (3/4)(5) + b

b = 4 -15/4 = 1/4

y=3x/4 +1/4 is the perpendicular line through the point