Question

Which system of equations is represented by the graph?

A) y = x plus 4, over x plus 2
y = x + 4

B) y = x plus 4, over x plus 2
y = x − 4

C) y = x minus 4, over x plus 2
y = x + 4

D) y = x minus 4, over x plus 2
y = x − 4

Answer 1

first the equation of the line, the two points (-1,-5) and (4,0) show that when x increases by 5, y increases by 5, the slope of a line is:
\[\large{m=\frac{change~in~y}{change~in~x}}\]
so the slope is 5/5 wich is 1
your options are in the y-intercept form y=mx+b, m is the slope, and b is the value of y when x is zero, so the equation is y=1x+(-4) or y=x-4

Answer 2

for the other equation the graph shows that the function is undefined when x=-2, the we know the equation looks like
\[\large{y=\frac{something}{x+2}}\]

Answer 3

from here I also need some help (sorry), @Loser66 do you know how to solve this?

Answer 4

yes, if I'm correct

Answer 5

(4,0)

Answer 6

isn't it D? x-4?

Answer 7

alright, thanks!