The equation of line q is 5y - 4x = 10. Write an equation of the line that is perpendicular to q and passes through the point (-15, 8)

y = -5/4x - 10.75

Step-by-step explanation:

First, put the equation in slope intercept form by isolating y:

5y - 4x = 10

5y = 4x + 10

y = 4/5x + 2

Perpendicular lines have opposite reciprocal slopes, so the slope will be -5/4

Plug in the slope and the given point into y = mx + b to find b:

y = mx + b

8 = -5/4(-15) + b

8 = 18.75 + b

-10.75 = b

Plug in the slope and y intercept into y = mx + b

y = mx + b

y = -5/4x - 10.75

5x + 4y + 43 = 0

Explanation:

y=mx+b

m=slope

b=y intercept

perpendicuar lines have slopes that multiply to get -1

so

solving for y

add 4x both sides and divide by 5 to get

y=4/5x+2

slope is 4/5

perpendicular means the slopes multiply to get -1

so

4/5 times what=-1?

what=-5/4

so

y=(-5/4)x+b

find b

given the point (-15,8)

8=(-5/4)(-15)+b

8=75/4+b

-43/4=b

y=(-5/4)x-43/4

convert to standard form:

5x + 4y + 43 = 0

think about the doctor who treated the major and the speaker in the short story "in another country." put yourself in the shoes of the doctor, and based on what you read in the story, write what you think his thoughts about the major and the speaker would be. use the following vocabulary in your response and change the form of these words as needed: detached resign withered

table a is wierd

step-by-step explanation:

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