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Sagot :
Answer::
[tex]\begin{gathered} y-\text{intercept}=b \\ x-intercept=-\frac{b}{m} \end{gathered}[/tex]Explanation:
The intercept form of the equation of a line is given as:
[tex]\frac{x}{a}+\frac{y}{b}=1[/tex]Given the equation:
[tex]y=mx+b[/tex]We have:
[tex]\begin{gathered} y-mx=b \\ \text{Divide both sides by b} \\ \frac{y}{b}-\frac{mx}{b}=\frac{b}{b} \\ -\frac{mx}{b}+\frac{y}{b}=1 \\ \frac{x}{-\frac{b}{m}}+\frac{y}{b}=1 \end{gathered}[/tex]Therefore, the x and y-intercepts are given below:
[tex]\begin{gathered} y-\text{intercept}=b \\ x-intercept=-\frac{b}{m} \end{gathered}[/tex]
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