Question

Mario compared the slope of the function graphed below to the slope of the linear function that has an x-intercept of 1 and a y-intercept of -2

Answer 1

The slope of the function graphed is less than the linear function that has an x-intercept of 1 and a y-intercept of -2.

Explanation:

It is given that x-intercept is 1 and y-intercept is -2.

Now, the coordinate of the point is (1,0) and (0,-2).

We know that,

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

`S_1=(-2-0)/(0-1)`

`S_1 = (-2)/(-1)`

`S_1=2`

Now, Slope of the graph given

Co-ordinate is (-5,0) and (1,2).

Using the formula of slope

`S_2 = (2-0)/(1-(-1))`

`S_2 = (2)/(1+1)`

`S_2 = (2)/(2)`

`S_2 =1`

Now,
`S_1>S_2`

Hence, the slope of function graphed is less than linear function that has an x-intercept of 1 and a y-intercept of -2.