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vaieri [72.5K]
3 years ago
14

I WILL GIVE YOU BRAINLIEST IF YOU ANSWER THE WHOLE QUESTION.

Mathematics
1 answer:
kicyunya [14]3 years ago
5 0

Answer:

B)y=2x   and     C) y=-7x+9

Step-by-step explanation:

Once a linear function has a constant rate of change, you just have to find the linear functions. Also, the other ones are quadratic functions, and their graph are parabolas, which don't have a constant rate of change.

Considering f(x)=y

f(x) = 2x  has a constant positive rate of slope 2.  

$\frac{dy}{dx}=2 $

f(x)=-7x+9 has a constant negative rate of slope -7

$\frac{dy}{dx}=-7 $

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Option C  

<u> Answer: </u>

The equation in slope intercept form is -\frac{5}{12} x-\frac{11}{12}

The slope is -\frac{5}{12} and y-intercept is -\frac{11}{12}

<u>Solution: </u>

The slope - intercept form equation of line is given as

y = mx + c    ---- eqn(1)

Where m is the slope of the line. The coefficient of “x” is the value of slope of the line.

c is the y – intercept which is the value of y at the point where the line crosses the y-axis

From question, given that -5x - 12y = 11 --- eqn (2)

On converting equation (2) in slope – intercept form, that is adding 5x on both sides,

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Now on dividing -12 on both sides,

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Comparing the given equation (3) with equation (1), we get  

m = -\frac{5}{12} and c = -\frac{11}{12}

Hence Option C is correct.

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