Question

9th grade- Point slope of line. Please explain how to do this, I got it wrong. I need an explanation cause I haven’t done it in a while.​

Answer 1

C) y -2 = 5/2(x -2)

Explanation:

The point-slope form of the equation for a line is ...

y -k = m(x -h) . . . . . . line with slope m through point (h, k)

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For slope m = 5/2 and point (2, 2), the equation is ...

y -2 = 5/2(x -2) . . . . . . matches choice C

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Additional comment

One way to tell if you have the correct answer is to see if the given point satisfies the equation.

A) 2 +2 = 5/2(2 +2) ⇒ 4 = 10 . . . false

B) 2 +2 = -5/2(2 -2) ⇒ 4 = 0 . . . false

C) 2 -2 = 5/2(2 -2) ⇒ 0 = 0 . . . true

D) 2 +2 = 5/2(2 -2) ⇒ 4 = 0 . . . false

If you were to get a "true" for more than one, then you can try another point at (h +1, k +m).

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Using this form, you are essentially translating the line y = mx so it goes through the point (h, k), instead of (0, 0).