Answer:
y=2x+6
Step-by-step explanation:
Slope intercept form is:
y=mx+b
m: slope
b: y-intercept
We can start by solving for the slope. The equation for slope is:
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in any two x, y pairs from the table into the equation. Let's use (-3, 0) and (0, 6):
[tex]Slope=\frac{6-0}{0-(-3)}=\frac{6}{0+3}=\frac{6}{3}=2[/tex]
y=2x+b
Now, we can plug in a x, y pair from the table in for x and y to solve for the y-intercept. Let's use (0, 6):
y=2x+b
6=2(0)+b
6=0+b
b=6
Therefore the equation is:
y=2x+6
