The slope-intercept form:
[tex]y=mx+b[/tex]
m - slope
b - y-intercept
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have two points (2, 0) and (-2, -4). Substitute:
[tex]m=\dfrac{-4-0}{-2-2}=\dfrac{-4}{-4}=1[/tex]
Therefore we have the equation of a line
[tex]y=1x+b\to y=x+b[/tex]
Put the coordinates of the point (2, 0) to the equation:
[tex]0=2+b[/tex] subtract 2 from both sides
[tex]-2=b\to b=-2[/tex]
Answer: [tex]\boxed{y=x-2}\to\boxed{3)}[/tex]
