Question

Consider the following equations:

y = x minus 2. y = 2 x minus 2. y = negative x minus 2. y = negative 2.
Discuss the similarities and difference in the graphs of these equations. (Use a graphing calculator if needed.)
a.
Same slopes; different y-intercepts
b.
Same slopes; same y-intercepts
c.
Different slopes; same y-intercepts
d.
Different slopes; different y-intercepts



Please select the best answer from the choices provided


A
B
C
D
plz help i'm begging you i don't want to fail this plz help

Answer 1

C

Explanation:

Different slopes; same y-intercept

Use a graphing calculator or an online one, like desmos to help visualize

y=x minus 2

y=2x minus 2

y= negative X minus 2

y=negative 2

If you were to type this on a graphing calculator

*Notice how all of these functions intersect at the same point on the y axis . That is because they all share the same y-intercept of -2

* The slopes are all different using the rise over run method.

Slope of y=x minus 2 is 2/2 or 1

Slope of y=2x minus 2is 2/1 or 2

Slope of y=negative X minus 2 is 2/-2 or -1

Slope of y= negative 2 is 0