Question

Find the slope and intercepts of line x/2 - y/3 = 1/4

Answer 1

Answer:

its c

Step-by-step explanation:

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Answer 2

The slope of the line is $\frac{-3}{2}$ and the intercept is $\frac{-3}{4}$.

Given:

An equation of the line $\frac{x}{2}-\frac{y}{3}=\frac{1}{4}$.

To Find:

the slope and intercepts of the line.

Solution:

To find the slope and intercept of a line with an equation of the form $ax+by=c$. The equation of the line is converted into form $y=mx+b$, where m is the slope of the line and b is the intercept.

Convert $\frac{x}{2}-\frac{y}{3}=\frac{1}{4}$ in the form$y=mx+b$.

• Shift the term containing x to the right-hand side.

       $-\frac{y}{3}=\frac{x}{2}+\frac{1}{4}$

• Multiply -1 on both side sides.

        $\frac{y}{3}=\frac{-x}{2}-\frac{1}{4}$

• Multiply 3 on both sides.

       $\frac{y}{3}\times 3=\frac{-3x}{2}-\frac{3}{4}\\y=\frac{-3x}{2}-\frac{3}{4}$

On comparing the equation $y=\frac{-3x}{2}-\frac{3}{4}$ with $y=mx+b$, $m=\frac{-3}{2}$ and $b=\frac{-3}{4}$.

Thus, the slope of the line is $\frac{-3}{2}$ and the intercept is $\frac{-3}{4}$.