5. consider the following equations.
equation a: 4x - 2y = -6.
equation b: 3x + y = 3.
which of the following statements is true
a the slopes of both lines are the same and the y-intercepts are different
b the slopes of both lines are different and the y-intercepts are the same.
c the slopes and the y-intercepts of both lines are the same.
d the slopes and the y-intercepts of both lines are different.
show your work below

Step-by-step explanation:

In y = mx + b form, the slope can be found in the m position and the y intercept can be found in the b position.

4x - 2y = -6

-2y = -4x- 6

y = (-4/-2)x -(6/-2)

y = 2x + 3slope here is 2, and y int is 3

3x + y = 3

y = -3x + 3slope here is -3, and y int is 3

B. slopes are different, y intercepts are the same

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.

substitute,

circle 1 = 5

circle 2 = 20

circle 3 = 44

in this case no matter how you add, you will always get a perfect square..

hence proved

happy to

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