Question

Wirte an equation for (-2, -5), (-6,9)

Answer 1

y = -3.5x - 12

Explanation:

Find the slope with rise over run: (y2 - y1) / (x2 - x1)

Plug in the points:

(9 + 5) / (-6 + 2)

14/-4

= -3.5

Then, plug this and a point into the equation y = mx + b to find b:

y = mx + b

9 = -3.5(-6) + b

9 = 21 + b

-12 = b

Then, plug this and the slope into the equation again:

y = mx + b

y = -3.5x - 12 will be the equation

Answer 2

y = -7/2x -12

Explanation:

The two-point form of the equation for a line is useful for this.

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

y = (9 -(-5))/(-6-(-2))(x -(-2)) -5

y = 14/-4(x +2) -5

y = -7/2x -12 . . . . the line through the given points