Pls can someone help, I know its alot sorry.

Question

The slope f(x)=x is (__). When the slope changed to 2/3 then the new line will be (__) [more steep or more less steep] compared to f(x). The y-intercept of f(x)=x is (__). When the y-intercept is changed to 4, the transformation on f(x) is (__).

Here is the link to the image of the problem I need help with: Pleaseeee can someone help, sorry I know its a lot. The slope f(x)=x is (__). When the slope changed - Brainly.com

Answer 1

slope of f(x) = x is 1, the coefficient of x is an implicit 1

change the slope to 2/3 and the new line is: f(x)=(2/3)x = 2x/3, which is less steep. 2/3<1

y intercept of f(x)= x is zero

if you change the y intercept to 4 then the new equation is f(x) =x + 4

the standard general linear equation is f(x) or y = mx + b where m is the slope and b is the y intercept. in the original problem m= 1 and b=0

then it changed to m=2/3, and finally to b=4

Answer 2

So, once the parent function f(x) = x has been given a new slope of 2/3 and the y- intercept is changed to 4, then the new function has the equation g(x) = (2/3) • x + 4.

Changing the slope from 1 to 2/3 means that f(x) is compressed and y-intercept changed from 0 to 4 means that f(x) is vertically shifted or vertically translated.

I clicked the link and it took me to a web page where the student needs to fill in the blanks appropriately and select the correct answer choice.