Answer:
[tex]y = 2x -4[/tex]
Step-by-step explanation:
Slope intercept form is [tex]y = mx + b[/tex] where m is the slope and b is the y-intercept.
Slope is [tex]\frac{rise}{run}[/tex] or [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex] in this case = [tex]\frac{0 - (-4)}{2 - 0} = \frac{4}{2} = 2[/tex]
Substitute one of the coordinates for x and y. I am going to use (0, -4) so:
[tex]-4 = 2(0) + b\\-4 = 0 + b\\-4 = b[/tex]
since m = 2 and b = -4, we can conclude that the equation would be
[tex]y = 2x -4[/tex]
