Hey there! :)
Answer:
y = 8.
Step-by-step explanation:
Begin by finding the slope of the equation. Use two points from the table and plug them into the formula:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{4-16}{1-(-2)}[/tex]
Simplify:
[tex]m = \frac{-12}{3}[/tex]
m = -4. This is the slope.
Create an equation in slope-intercept form (y = mx + b) to solve for the y intercept. Plug in the x and y values from another point.
0 = -4(2) + b
0 = -8 + b
Add 8 to both sides:
8 = b. The 'b' value is the y-intercept.
Therefore, the y-intercept of this table is:
y = 8.
