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 $y=\frac{2}{3}x-\frac{8}{3}$.

Solution:

Slope (m) = $\frac{2}{3}$

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

Point - slope form:

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

$y-(-6)=\frac{2}{3}(x-(-5))$

$y+6=\frac{2}{3}(x+5)$

$y+6=\frac{2}{3}x+\frac{10}{3}$

Subtract 6 from both sides.

$y+6-6=\frac{2}{3}x+\frac{10}{3}-6$

$y=\frac{2}{3}x+\frac{10-18}{3}$

$y=\frac{2}{3}x-\frac{8}{3}$

Equation of the line is $y=\frac{2}{3}x-\frac{8}{3}$.

The image of the graph is attached below.

Answer 2

Answer:

Equation of the line is

Step-by-step explanation: