Answer:
The equation in slope intercept form (y = mx + b) is y = 2x - 4
m = the slope
b = the y intercept
The line cross the y-axis at -4 so the y-intercept (b) is -4.
You can use the slope formula [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] since you have plotted points (0, -4) and (2, 0) on the graph that you can plug in.
[tex]\frac{0--4}{2-0}[/tex] = [tex]\frac{4}{2}[/tex] = 2
So the slope (m) is 2. Now you can make the slope-intercept form using these values. So, the equation for the line is y = 2x - 4
