Question

Graph a line that contains the point (-5, -6) and has a slope of

aina
5+
+
но са
-7
-6
-5
-4
-3 -2
1
2
3
4
5
6
7

Answer 1

Equation of the line is

Explanation:

Answer 2

Equation of the line is
`y=(2)/(3)x-(8)/(3)`.

Solution:

Slope (m) =
`(2)/(3)`

Point
`(x_1, y_1)=(-5, -6)`

Point - slope form:

`y-y_1=m(x-x_1)`

`$y-(-6)=(2)/(3)(x-(-5))`

`$y+6=(2)/(3)(x+5)`

`$y+6=(2)/(3)x+(10)/(3)`

Subtract 6 from both sides.

`$y+6-6=(2)/(3)x+(10)/(3)-6`

`$y=(2)/(3)x+(10-18)/(3)`

`$y=(2)/(3)x-(8)/(3)`

Equation of the line is
`y=(2)/(3)x-(8)/(3)`.

The image of the graph is attached below.