Enter the Equation of the line in Slope Intercept Form

Question

Enter the Equation of the line in Slope Intercept Form

Enter the Answer in Fraction Form

The line Perpendicular to y=4/3x+7 that passes through (4,-2)

The Equation of the line that passes through (4,-2) is y=?

Answer 1

First, you want to find the slope that is perpendicular to this line. The slope of this line, according to this equation, is 4/3. The way to find a perpendicular slope is the opposite reciprocal. The opposite reciprocal of is- 3/4, and that is our new slope.

So far, our equation looks like:

y = (-3/4)x + b.

All we need now is the y intercept (b). The way do find this value is to plug in the point provided, and solve for b. The point was (4,-2):

-2 = (-3/4)*4 + b

-2 = -3 + b

b = 1

So our final equation for a perpendicular line going through the point (4,2) is:

y = (-3/4)*x + 1

Answer 2

A line that is perpendicular will have a slope that is the negative reciprocal of the given slope.

Given slope 4/3

The negaative reciprocal is -3/4

Given y=4/3x+7

At (4,-2),

-2=-3/4(4)+b

-2=-3+b

b=1

The equation of the line is

y=-3/4x+1