Question

State the slope and y-intercept of the graph of each equation.

14. $\mathbf{y}=\frac{\mathbf{3}}{\mathbf{4}}\mathbf{x}$

Short answer

The slope of the given line is $\frac{3}{4}$ and the y-intercept of the given line is 0.

Step-by-step solution

– State the concept

The general equation of a straight line in slope-intercept form is given as $y=mx+c$, where $m$ is the slope and $c$ is the y-intercept.

– List the given data

The given equation of the line is $y=\frac{3}{4}x$.

– Identify the slope and intercept

The given equation is already in slope-intercept form.

Comparing the given equation, $y=\frac{3}{4}x$ with $y=mx+c$,$m=\frac{3}{4}$ and $c=0$.

This implies that the slope of the given line is $\frac{3}{4}$ and the y-intercept of the given line is 0.