Answer: [tex]y=3x+9[/tex]
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
[tex]y=mx+b[/tex]
Where "m" is the slope and "b" is the y-intercept.
We can calculate the slope of the line with this formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Given these points:
[tex](-4,-3)\\\\ (-2,3)[/tex]
We can identify that:
[tex]y_2=-3\\y_1=3\\\\x_2=-4\\x_1=-2[/tex]
Then, the slope is:
[tex]m=\frac{-3-3}{-4-(-2)}=3[/tex]
Now we have to substitute the slope and one of the points into [tex]y=mx+b[/tex] and solve for "b":
[tex]3=3(-2)+b\\\\3+6=b\\\\b=9[/tex]
Then, the equation of this line is:
[tex]y=3x+9[/tex]
