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Question
(1 point) find an equation y = mx + b for the line whose graph is sketched
the slope m equals
the y - intercept b equals
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Step1: Identify two points on the line
From the graph, we can take two points, say $(0, 5)$ and $(1, - 5)$.
Step2: Calculate the slope $m$
The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$. Using the points $(0,5)$ and $(1, - 5)$, we have $m=\frac{-5 - 5}{1-0}=\frac{-10}{1}=-10$.
Step3: Find the y - intercept $b$
The y - intercept is the y - value when $x = 0$. From the point $(0,5)$, we can see that $b = 5$.
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The slope $m$ equals $-10$.
The $y$-intercept $b$ equals $5$.