Question

Complete the point-slope equation of the line through (1,-1)(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and (5,2)(5,2)left parenthesis, 5, comma, 2, right parenthesis.

Answer 1

y-(-1) =
`(3)/(4)`(x-1)

Explanation:

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Answer 2

y +1 = 3/4(x -1)

Explanation:

The slope is ...

m = (change in y)/(change in x) = (2-(-1))/(5 -1) = 3/4

Either point will work. Using the first one in the point-slope form for a line with slope m through point (h, k) ...

y -k = m(x -h)

we get ...

y +1 = (3/4)(x -1)