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NEED ASAP!!!

Line m has the equation y= 2/3 (x) - 3 . Line n has the points given in the table to the right. Holly says the two lines have the same slope. Is Holly correct?

A. Yes, they both have a slope of .
B. Yes, they both have a slope of -3.
C. No, the slope of line m is and the slope of line n is .
D. No, the slope of line m is -3 and the slope of line n is .

NEED ASAP!!! Line m has the equation y= 2/3 (x) - 3 . Line n has the points given-example-1

1 Answer

2 votes

Answer: A) Yes, they both have a slope of 2/3

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Step-by-step explanation:

The equation y = (2/3)x - 3 has slope 2/3 since it is the coefficient of x

The coefficient is the number to the left of the variable.

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Now let's pull two points from the table.

Pick any two points you want. I'll pick the last two rows to get the two points (4,2) and (13,8)

Subtract the y values to get 8-2 = 6

Subtract the x values in the same order: 13-4 = 9

Divide the differences:

slope = rise/run

slope = (change in y)/(change in x)

slope = 6/9

slope = 2/3

We get the same slope as before. Holly is correct.

User Dallen
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