Question

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

Answer 1

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}`