Question

Directions: Graph each equation by using the y-intercept and slope( make sure too show your work)

Answer 1

Given:

The equation of a linear function is:

$y=-\dfrac{2}{3}x-1$

To find:

The y-intercept and slope of the given equation, then draw the graph of the equation.

Solution:

Slope intercept form of a line is:

$y=mx+b$             ...(i)

Where, m is the slope and b is the y-intercept

We have,

$y=-\dfrac{2}{3}x-1$        ...(ii)

On comparing (i) and (ii), we get

$m=-\dfrac{2}{3}$

$b=-1$

Therefore, the y-intercept is -1 and the slope of the line is $-\dfrac{2}{3}$.

It means the graph intersect the y-axis at point (0,-1) and having slope $-\dfrac{2}{3}$. So, the graph of the equation is shown below.