Question in the picture. Awnser choices below (Select all that apply) \/\/A) The slope of function K is 2 times the slope of function M. B)The slope of function K is the same as the slope of function M C)The y-intercept of function K is 2 times the y-intercept of function M. D)The y-intercept of function K is 3 more than the y-intercept of function M E)The y-intercept of function K is 4 more than the y-intercept of function M.

Question in the picture. Awnser choices below (Select all that apply) \/\/A) The slope of function K is 2 times the slope of function M. B)The slope of function class=

Answer :

Given data:

The given table is shown.

The given equation of the second function is y= 3/2 x+1.

The equaton line passing through the points (-2, -2) and (-1, 1) is,

[tex]\begin{gathered} (y+2)=\frac{1-(-2)}{-1-(-2)}(x+2) \\ y+2=\frac{3}{1}(x+2) \\ y=3x+4 \end{gathered}[/tex]

The slope of above line is 3 and intercept is 4.

The standard equation of the line is,

[tex]y=m^{\prime}x+c[/tex]

Compare the equation of the second function with the above equation.

[tex]m^{\prime}=\frac{3}{2}[/tex]

It means

[tex]m=2m^{\prime}[/tex]

The y-intercept of K function is 4 and y intercept of M function is 1.

Thus, the correct option is (A) and (D).

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