Question

Write the equation of the line containing the points (-7,7)

and (-8, 10). (Use the slope you just found, and pick either
point).

Answer 1

Answer: y=-3x-14

Explanation:

The equation of a line is y=mx+b.

Mx is the slope so insert the coordinates into slope formula:

`m=(y_(2)-y_(1) )/(x_(2)-x_(1) )`

`m=(10-7)/(-8-(-7))`

`m=(3)/(-1)`

`m=-3`

To find b, we insert one of the coordinates into the part of the equation we have found so far.

y=mx+b

y=-3x+b

7=-3(-7)+b

7=21+b

7-21=21-21+b

-14=b

Now put it all together and the equation is y=-3x-14