Question

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

Answer 1

y= 2x -2

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 = (y _(1) - y_2 )/(x_1 - x_2) }`

`slope = (0 - ( - 2))/(1 - 0)`

`slope = (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