Question

Write the equation of the line that passes through the given points. (0.-2) and (-9.-6)​

Answer 1

y= 4/9x - 2

Explanation:

find slope by performing (y2-y1)/(x2-x1)

m=4/9

use point-slope formula with one of the points to figure out the equation of the line

y-(-2) = 4/9(x-0)

when put into slope intercept form the line is:

y= 4/9x - 2

HTH :)

Answer 2

Explanation:

First find the slope = rise/run = y2 - y1/x2 - x1

m = (-6 - 0)/(0 - 9) = -6/-9 = 2/3

Now we can substitute in the slope and either point to find b = y-intercept and write the equation:

y = mx + b

0 = 2/3(9) + b

0 = 6 + b

-6 = b

The equation is y = 2/3x -6.