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QveST [7]
3 years ago
15

the relationship between money earned and hours worked is linear. joe computes the slope between (4, 30) and (12, 90), then comp

utes the slope between (4, 30) and (10, 75). how do the two slopes compare?
Mathematics
2 answers:
julia-pushkina [17]3 years ago
6 0
Slope = rise/run =[y2-y1]/[x2-x1]

1) slope = [90 - 30] / [12 - 4] = 60 / 8 = 15/2

2) slope = [75 - 30] / [10 - 4] = 45 / 6 = 15 / 2

The slopps are equal.
mylen [45]3 years ago
3 0

Answer: The slopes are equal.

The points are representing the same line.

Step-by-step explanation:

We know that the slope between points (a,b) and (c,d) is given by :-

m=\dfrac{d-b}{c-a}

The slope between the points (4,30)  and (12,90) will be

m_1=\dfrac{90-30}{12-4}=\dfrac{60}{8}=\dfrac{15}{2}

The slope between the points (4,30) and (10,75) will be

m_2=\dfrac{75-30}{10-4}=\dfrac{45}{6}=\dfrac{15}{2}

\Rightarrow\ m_1=m_2

We know that if the slopes are equal then the lines are parallel.

But they have one point common (4,30) so it cannot be parallel, they ust be same line .

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