Question

30. Write an equation in point-slope form for the line through the given point with the given slope. (-7,9); m=4/5

Answer 1

Equation in point-slope form is $y-9=4/5(x+7)$

Option C is correct.

Step-by-step explanation:

We need to Write an equation in point-slope form for the line through the given point with the given slope. (-7,9); m=4/5

The formula used for point-slope form is:

$y-y_1=m(x-x_1)$

We are given slope m = 4/5

Point (-7,9) where x₁ = -7 and y₁ = 9

Putting values in the formula:

$y-y_1=m(x-x_1)\\y-9=4/5(x-(-7))\\y-9=4/5(x+7)$

So, equation in point-slope form is $y-9=4/5(x+7)$

Option C is correct.

Keywords: Equation of line using Slope  

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