Question

The students in Mrs. Smith's math class decided to compare the y-intercepts of two different functions. They were given f(x) = 2x - 5 and a table for the second function. See table below.


x g(x)

-1 1
2 4
3 5
5 7
What is the difference when the y-intercept of f(x) is subtracted from the y-intercept of g(x)?


3


5


-3


7

Answer 1

First, do you know what y-intercept is and how to find it? The y-intercept of a function is where the graph crosses the y-axis. Since any point on the y-axis has an x-coordinate that is zero, to find the y-intercept, make x = 0 and solve for y in the equation. From the table, if there is no x = 0, then first determine the equation and then find the y-intercept.

Answer 2

So is y -5 ?

Answer 3

What do you mean by "y-5"??

Answer 4

like you said find y ?? idk

Answer 5

Are saying that the y-intercept of f(x) is -5?

Answer 6

yes .

Answer 7

Because if that's what you're saying, then you would be correct!! Now you still have to find the equation for g(x) and find its y-intercept similarly.

Answer 8

How do i do that ?

Answer 9

To find the equation of a line in slope-intercept form (since you require the y-intercept)'

i). Find the slope (m) of the line:\[m =\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\]ii). Find the equation:\[y =mx +b\]where m is the slope from i) and b is the y-intercept.

Note: To find the above equation, you find b by substituting the slope (m) you found in i) and any point (x, y) from the table.