Question

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

Answer 1

Answer:

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

Step-by-step 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:

$(x_1,y_1) , (x_2,y_2)$

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{4-0}{-2-(-3)}=\frac{4}{1}=4$

And the equation of the line can be given as:

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

m = slope of the line

$(y-0)=4\times (x-(-3)$

$y=4x+12$

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.

Answer 2

Answer:

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