Which of the following equations represents a line that is perpendicular to y=-4x+9 and passes through the point, (4,5)?
а. у-х +5
в. - x+6
с. у-х+4
d. у= -4х+4

Step-by-step explanation:

Given equation of line is:

y = -4x+9

Comparing it with the standard form

y = mx+b

m = -4

As we know that the product of slopes of perpendicular lines is -1

Let m1 be the slope of perpendicular line

m * m1 = -1

-4 * m1 = -1

m1 = -1/-4

m1 = 1/4

In order to find the value of b, putting the point in standard form

5 = (1/4)*4 + b

5 = 1 + b

b = 5-1

b = 4

Putting the value of b and m1 in standard form

..

it's equivalent, so we can say that its equal.

let's call the denominator x and the numerador is 18 less then denominator, x - 18.

multiply

2.x = 5.(x - 18)

2x = 5x - 90

90 = 5x - 2x

90 = 3x

x = 90/3

x = 30

so:

-232

step-by-step explanation: