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Molodets [167]
2 years ago
12

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

Mathematics
1 answer:
AlladinOne [14]2 years ago
4 0

Answer:

y= 2x -2

Step-by-step explanation:

<u>Slope-intercept </u><u>form</u>

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

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