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natali 33 [55]
3 years ago
14

Identify the slope and y-intercept of the line whose equation is given. Write the y-intercept as an ordered pair. (Remember the

slope-intercept form is y=mx+b
q=2-r

A. slope=-2; y-intercept (0,0)
B. slope==2; y-intercept (0,-1)
C. slope==-1; y-intercept (0,2)
D. slope==1; y-intercept (0,2)
Mathematics
2 answers:
xeze [42]3 years ago
6 0
The answer is c. hope this helps.
nata0808 [166]3 years ago
6 0

Answer:

<em>The correct option is:  C. slope= -1;  y-intercept (0,2)</em>

Step-by-step explanation:

The given equation is:   q= 2-r

Assuming q and r as y and x respectively, the equation becomes:  y=2-x

Rearranging the terms in right side:   y=-x+2

<em>Comparing this above equation with the slope-intercept form</em>  y=mx+b, we will get.....

mx=-x \Rightarrow m=\frac{-x}{x}=-1\\ \\ and\\ \\ b=2

So, the slope is -1 and y-intercept is (0, 2)

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A fitness center has two membership plans. One has a low dollar sign up fee of 15 dollars and cost 38 dollars per month to join.
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Let x be the number of months.
The first plan is 15 dollars sign up fee and 38 dollars per month. So the equation is 38x + 15.
The second plan is 78 dollars as sign up fee and 31 dollars per month. So the equation is 31x + 78.

We need find when x has the same value in both equations, so we do their equality:
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Let's subtract 15 from both sides
38x + 15 = 31x + 78
38x + 15 - 15 = 31x + 78 - 15
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Now let's subtract 31x from both sides to have the variables on a side and the numbers on side:

38x = 31x + 63
38x - 31x = 31x - 31x + 63
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Divide both sides by 7 to have the variable x on a side and its value on the other:
(7x)/7 = 63/7
x = 9

So at month 9, the 2 plans will cost the same.

Let's check our answers, and let y be the cost:
y = 38x + 15 = 38*9 + 15 = 357
y = 31x + 78 = 31*9 + 78 = 357
Our answer has been approved.

Hope this helps! :D
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