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Write y=mx+b in the intercept form then list the x and y-intercepts.

User MwcsMac
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1 Answer

1 vote

Answer::


\begin{gathered} y-\text{intercept}=b \\ x-intercept=-(b)/(m) \end{gathered}

Step-by-step explanation:

The intercept form of the equation of a line is given as:


(x)/(a)+(y)/(b)=1

Given the equation:


y=mx+b

We have:


\begin{gathered} y-mx=b \\ \text{Divide both sides by b} \\ (y)/(b)-(mx)/(b)=(b)/(b) \\ -(mx)/(b)+(y)/(b)=1 \\ (x)/(-(b)/(m))+(y)/(b)=1 \end{gathered}

Therefore, the x and y-intercepts are given below:


\begin{gathered} y-\text{intercept}=b \\ x-intercept=-(b)/(m) \end{gathered}

User Arandur
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