Question

What are the slope and the y-intercept of the linear function that is represented by the graph?

The slope is 3, and the y-intercept is 9.
The slope is 3, and the y-intercept is 12.
The slope is 4, and the y-intercept is 9.
The slope is 4, and the y-intercept is 12.

Answer 1

The slope is 4 and the y-intercept is 12.

Answer 2

The slope is 4, and the y-intercept is 12.

Explanation:

In the given graph consider to coordinates of line:

(-3,0), (-2,4)

Slope of the of line can be calculated by using formula:

`(x_1,y_1) , (x_2,y_2)`

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

`m=(4-0)/(-2-(-3))=(4)/(1)=4`

And the equation of the line can be given as:

`(y-y_1)=m(x-x_1)`

m = slope of the line

`(y-0)=4* (x-(-3)`

`y=4x+12`

Slope intercept form of line:

`y=mx+c`...

c = intercept on y axis

On comparing equation line with slope intercept form

y=4x+12

y=mx+c

m = 4, c = 12

The slope is 4, and the y-intercept is 12.