Question

How do you find the slope and the $y-$intercept of the line represented by the equation $-3x+4y=8$?

Answer 1

Use Slope intercept form to compute the slope and $y-$intercept.

Given an equation $-3x+4y=8$.

This equation can be written as:

$$\begin{gathered} 4y=3x+8 \\ \Rightarrow y=\frac{3}{4}x+2 \end{gathered}$$

The slope intercept form can be given as $\mathrm{y}=\mathrm{mx}+\mathrm{c}$.

Compare the two equations:

$\mathrm{m}=\frac{3}{4},\mathrm{c}=2$.

Hence, the slope of equation is $\frac{\mathbf{3}}{\mathbf{4}}$ and $y-$intercept is $\mathbf{2}$.