Question

Find the equation of the line through (-2,-4) and (5,-6).

Answer 1

hehdudhebsuxurnsjizdnnehsnx

Answer 2

y = -
`(2)/(7)`x -
`(32)/(7)`

Explanation:

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

Plug in the points:

(-6 + 4) / (5 + 2)

-2/7

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

y = mx + b

-4 = -2/7(-2) + b

-4 = 4/7 + b

-4 4/7 = b

Then, plug in the slope and y intercept into y = mx + b

y = -
`(2)/(7)`x -
`(32)/(7)` will be the equation