GowthamR199528 GowthamR199528
  • 03-11-2022
  • Mathematics
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Find the slope and y-intercept from the following graph of a linear equation.75341-5-4-3-24- 1X-2-3-4-5-6-7

Find the slope and yintercept from the following graph of a linear equation7534154324 1X234567 class=

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ToulaP607671 ToulaP607671
  • 03-11-2022

The slope is calculated by picking two coordinate points that lie on the straight line:

[tex]\begin{gathered} slope(m)=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1} \\ (x_1,y_1)=(1,7);(x_2,y_2)=(0,3) \\ slope(m)=\frac{3-7}{0-1}=\frac{-4}{-1}=4 \\ slope(m)=4 \end{gathered}[/tex]

The y-intercept is obtained at the point x = 0 or at the point where the line touches the y-axis. From the graph, the y-intercept is 3

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