Question

What the slope and y intercept ? and how did you find it ?

Answer 1

Slope:
`m=4`

y-intercept:
`b=-1`

Explanation:

The equation of the line in Slope-Intercept form is:

`y=mx+b`

Where "m" is the slope and "b" is the y-intercept.

The slope can be found with the following formula:

`m=(y_2-y_1)/(x_2-x_1)`

In this case you can say that:

`y_2=-5\\y_1=11\\\\x_2=-1\\x_1=3`

Knowing this values you can substitute them into the formula and then evaluate, in order to find the slope. This is:

`m=(-5-11)/(-1-3)\\\\m=(-16)/(-4)\\\\m=4`

By definition, the line intersects the y-axis when the value of "x" is 0.

Notice in the table that when
`x=0`,
`y=-1`

Therefore, the y-intercept is:

`b=-1`