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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

Mario Compared The Slope Of The Function Graphed Below To The Slope Of The Linear Function That Has An Xintercept Of 1 And A Yintercept Of 2 class=

Sagot :

Answer:

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.

Step-by-step 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 = [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]S_1=\dfrac{-2-0}{0-1}[/tex]

[tex]S_1 = \dfrac{-2}{-1}[/tex]

[tex]S_1=2[/tex]

Now, Slope of the graph given

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

Using the formula of slope

[tex]S_2 = \dfrac{2-0}{1-(-1)}[/tex]

[tex]S_2 = \dfrac{2}{1+1}[/tex]

[tex]S_2 = \dfrac{2}{2}[/tex]

[tex]S_2 =1[/tex]

Now, [tex]S_1>S_2[/tex]

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

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