Answered

IDNLearn.com provides a seamless experience for finding the answers you need. Get prompt and accurate answers to your questions from our community of experts who are always ready to help.

(a) Which function has the graph with a y-intercept closest to 0 ?(b) Which function has the graph with the greatest slope?(c) Which functions have graphs with y-intercepts greater than 3? (Check all that apply.)

A Which Function Has The Graph With A Yintercept Closest To 0 B Which Function Has The Graph With The Greatest Slopec Which Functions Have Graphs With Yintercep class=
A Which Function Has The Graph With A Yintercept Closest To 0 B Which Function Has The Graph With The Greatest Slopec Which Functions Have Graphs With Yintercep class=

Sagot :

We need to find the slope-intercept equation for all cases:

Function 1.

In this case, we have the following points

[tex]\begin{gathered} (x_1,y_1)=(1,-2) \\ (x_2,y_2)=(0,-4) \end{gathered}[/tex]

Then, its slope is given by

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-4+2}{0-1}=2[/tex]

Since the line crosses the y-axis at y=-4, the line equation is:

[tex]y=2x-4[/tex]

Function 2.

We can choose 2 points of the table, for instance,

[tex]\begin{gathered} (x_1,y_1)=(0,5) \\ (x_2,y_2)=(1,4) \end{gathered}[/tex]

and get the following slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-5}{1-0}=-1[/tex]

since the line crosses at y=5, the equation is:

[tex]y=-x+5[/tex]

Function 3.

From the given information, the equation is

[tex]y=-4x-1[/tex]

Function 4.

From the given information, the equation is:

[tex]y=5x+2[/tex]

In summary, we have obtained the following equations:

1) y=2x-4

2) y=-x+5

3) y=-4x-1

4) y=5x+2

Then, we have obtained:

a) Which function has the graph with a y-intercept closest to 0? Answer. As we can note, function 3 because its y-intercept is -1

(b) Which function has the graph with the greatest slope? Answer. From the above result, we can note that function 4 has the greatest slope because it is equal to 5

(c) Which functions have graphs with y-intercepts greater than 3? Answer. Only function 2 has y-intercept greater than 3 because the value is 5

In summary, the answers are:

a) Function 3

b) Function 4

c) Function 2

We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.