Chapter 12, Problem 11CCSR

To determine

To find: the slope intercept form of equation from the given equation.

Answer to Problem 11CCSR

The option C is correct option.

Explanation of Solution

Given:

  $-3x+4y=8.$

Concept used:

Slope of the straight line: $y=mx+c$ .

Where $m\text{=slope}$ .

y-intercept is distance between origin and the point where $x=0$ .

Similarly,

x-intercept is distance between origin and the point where $y=0$ .

Calculation:

  $\begin{array}{l}-3x+4y=8.\\ \Rightarrow y=8+\frac{3}{4}x.\\ \Rightarrow y=\frac{3}{4}x+2.\end{array}$

Comparing with general equation of straight line:

  $\begin{array}{l}y=mx+c.\\ m=\frac{3}{4}.\\ \text{Slope}=\frac{3}{4}.\end{array}$

Hence, option C is correct option.