Question

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

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

Short answer

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

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

– Identify the slope and intercept

The given equation is already in slope-intercept form.

Comparing the given equation, $y=-\frac{2}{3}x-4$ with $y=mx+c$, $m=-\frac{2}{3}$ and $c=-4$.

This implies that the slope of the given line is $-\frac{2}{3}$ and the y-intercept of the given line is -4.