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Identify the slope and the y-intercept of each line and use them to write an equation of the graph

Identify The Slope And The Yintercept Of Each Line And Use Them To Write An Equation Of The Graph class=

Sagot :

Notice that the line passes through the point (0,1) and the point (3,-1). Then, we have the following:

[tex]\begin{gathered} y-\text{intercept: (0,1)} \\ \text{slope:} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ \Rightarrow m=\frac{-1-0}{3-0}=-\frac{1}{3} \\ m=-\frac{1}{3} \end{gathered}[/tex]

now we can find the equation of the line using the slope and the y-intercept:

[tex]\begin{gathered} y-y_1=m(x-x_1) \\ \Rightarrow y-1=-\frac{1}{3}(x-0) \\ \Rightarrow y=-\frac{1}{3}x+1 \end{gathered}[/tex]

therefore, the equation of the line is y=-1/3x+1

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