Respuesta :

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