Answer:
Equation of given line is [tex]y=-2x+12[/tex]
Below is the graph attached.
Step-by-step explanation:
Given,
The line crosses through two highlighted points (-4,4) and (-2,0).
We are asked to find the equation of given line.
In this case equation of line can be obtained through point-slope form,
[tex]y-y1 = m(x-x1)[/tex]
Where 'm' is the slope,
[tex](x1,y1) \ is\ (-4,4)[/tex]
[tex](x2,y2) \ is\ (-2,0)[/tex]
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Substituting the above points in this slope formula.
We get,
[tex]m=\frac{0-4}{-2-(-4)}[/tex]
[tex]m=\frac{-4}{-2+4}[/tex]
[tex]m=\frac{-4}{2}[/tex]
[tex]m=-2[/tex]
Now plugging [tex]m=-2[/tex] and [tex](x1,y1)=(-4,4)[/tex] in point-slope form,
[tex]y-y1 = m(x-x1)[/tex]
[tex]y-4=-2[x-(-4)][/tex]
[tex]y-4=-2[x+4][/tex]
[tex]y-4=-2x+8[/tex]
[tex]y=-2x+12[/tex]
Therefore [tex]y=-2x+12[/tex] is the equation of given line.
