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Write an equation in slope-intercept form for the line that satisfies the given conditions.a)x-intercept = 3, y-intercept = -2

User Rbedger
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1 Answer

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We know that the slope-intercept form of the equation of the line is:


y=mx+b

since the y-intercept is -2, then we have that b = -2.

To find the slope, we can use the x-intercept doing the substitution of the point (3,0) on the previous equation to get the following:


\begin{gathered} (x,y)=(3,0) \\ b=-2 \\ \Rightarrow0=m(3)+(-2)=3m-2 \\ \Rightarrow0=3m-2 \end{gathered}

now, solving for m we get the following:


\begin{gathered} 3m-2=0 \\ \Rightarrow3m=2 \\ \Rightarrow m=(2)/(3) \end{gathered}

now that we have that m = 2/3 and b = -2, the equation in slope-intercept form is:


y=(2)/(3)x-2

User Jeff Fischer
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