Question

What is the point slope form of (7,-4) and (-1,3)

Answer 1

Answer:

y-3 = -7/8(x+1)

Step-by-step explanation:

The slope of a line given two points is given by

m = (y2-y1)/(x2-x1)

    = (3 - -4)/(-1 -7)

     = (3+4) / (-1-7)

      = 7/ -8

  = -7/8

The point slope form of a line is

y-y1 = m(x-x1)

y - 3 = -7/8( x - -1)

y-3 = -7/8(x+1)

Answer 2

First, lets find the slope.

Slope Formula: y2-y1/x2-x1

= 3-(-4)/-1-7

= 7/-8

= -7/8

Point slope form: y - y1 = m(x - x1)

We can use one point to substitute y1 and x1 with. We can also substitute m with the slope. Lets use the point (7,-4) and the slope of -7/8 to solve.

y - (-4) = -7/8(x - 7)

y + 4 = -7/8(x - 7)

Best of Luck!