Answer:
[tex]y=-2x-2[/tex]
Step-by-step explanation:
Step 1. Find the Slope
To find the slope, use two listed points in the table (in this case)
Two points would be: (4, -10) and (2, -6)
Then find the slope
m = slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-6-(-10)}{2-4}[/tex]
[tex]m=\frac{4}{-2}[/tex]... [tex]-\frac{4}{2}[/tex]
[tex]m=-2[/tex]
The slope is -2 now solve for the y-intercept
to do this, use any point "(2, -6)" and plug it in a slope equation
[tex]y=-2x+b[/tex]
[tex](-6)=-2(2)+b[/tex]
[tex]-6=-4+b[/tex]
[tex]b=-6+4[/tex]
[tex]b=-2[/tex]
The y-intercept is -2
and the equation of the line in slope-intercept form is [tex]y=-2x-2[/tex]
