Question

Write the equationThe line through (8,0) with slope -3/4 in slope-intercept form

Answer 1

`y=-(3)/(4)x+6`

Explanation:

The equation of the line in its slope and intercept form is as follows:

`\begin{gathered} y=mx+b \\ \text{ where, m is the slope and b is y-intercept } \end{gathered}`

We know the slope, we can calculate from b, with the help of the point (8, 0) like this:

`\begin{gathered} 0=8\cdot-(3)/(4)+b \\ b=6 \end{gathered}`

Therefore, the equation of the line would be:

`y=-(3)/(4)x+6`