Question

What is an equation in point-slope form of the line that passes through (-7, 1) and (-3, 9)?

Answer 1

writing the linear equation can be used by any any of those coordinates that are given

Answer 2

• The point-slope form equation is given as:

y - y1 = m(x - x1)

m = Gradient

• Making m the subject of the formula

m = y - y1 / x - x1

Where:

(-7, 1) = (x, y)

(-3,  9) = (x1, y1)

• Solving for m

m = (1 - 9) /( -7 + 3)

m = -8/- 4

m = 2

Inputing this into our point slope form equation : y - y1 = m(x - x1)

We have:

y - 9 = 2(x + 3)

Therefore, Option D is the correct option

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