Question

Which equation is a point slope form equation for line AB?

y−5=3/4(x−6)

y−6=3/4(x−5)

y−1=3/4(x−2)

y−2=3/4(x−1)
Four-quadrant Cartesian graph with integer tickmarks from -9 to 9 (or -10 to 10) for x and y axes, with a straight line with arrowheads drawn through two points labeled A and B. Point A is at (-2,- 1) and point B is at (6,5).

Answer 1

y -5 = (3/4)(x -6)

Explanation:

Between the two points, the line has a rise of 6 and a run of 8. Thus, the slope is ...

... m = rise/run = 6/8 = 3/4

The point-slope form of the equation of a line with slope m through point (h, k) is ...

... y - k = m(x - h)

For point B, (h, k) = (6, 5), so filling in the values gives ...

... y - 5 = (3/4)(x - 6)