Answer:
y= 2x -2
Step-by-step explanation:
Slope-intercept form
y= mx +c, where m is the slope and c is they y-intercept
[tex]\textcolor{violet}{\text{\textcircled{1} Find the slope}}[/tex]
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
[tex]slope = \frac{0 - ( - 2)}{1 - 0} [/tex]
[tex]slope = \frac{0 + 2}{1} [/tex]
slope= 2
[tex]\textcolor{violet}{\text{\textcircled{2} \text{Substitute value of slope into m}}}[/tex]
y= 2x +c
[tex]\textcolor{violet}{\text{\textcircled{3} Find c}}[/tex]
Given that the y-intercept occurs at (0, -2), c= -2.
[tex]\textcolor{violet}{\text{\textcircled{4} Substitute the value of c into the equation}}[/tex]
y= 2x -2