Question

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

FIRST QUESTION: y= -2/3x-1
y-intercept=____
Slope:____

Answer 1

Given:

The equation of a linear function is:

`y=-(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=-(2)/(3)x-1` ...(ii)

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

`m=-(2)/(3)`

`b=-1`

Therefore, the y-intercept is -1 and the slope of the line is
`-(2)/(3)`.

It means the graph intersect the y-axis at point (0,-1) and having slope
`-(2)/(3)`. So, the graph of the equation is shown below.