Question

Write an equation in slope-intercept form for the graph shown. (1,0) (0,-2)

Answer 1

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

$\textcolor{violet}{\text{\textcircled{1} Find the slope}}$

$\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }$

$slope = \frac{0 - ( - 2)}{1 - 0}$

$slope = \frac{0 + 2}{1}$

slope= 2

$\textcolor{violet}{\text{\textcircled{2} \text{Substitute value of slope into m}}}$

y= 2x +c

$\textcolor{violet}{\text{\textcircled{3} Find c}}$

Given that the y-intercept occurs at (0, -2), c= -2.

$\textcolor{violet}{\text{\textcircled{4} Substitute the value of c into the equation}}$

y= 2x -2