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Inga [223]
3 years ago
14

Which equation represents a line that passes through (-2,4) and has a slope of 2/5?

Mathematics
2 answers:
oksano4ka [1.4K]3 years ago
6 0

Answer:

\large\boxed{y=\dfrac{2}{5}x+\dfrac{24}{5}}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

We have the slope m=\dfrac{2}{5} and the point (-2, 4).

Put them in the equation of a line:

4=\dfrac{2}{5}(-2)+b

4=-\dfrac{4}{5}+b       <em>add 4/5 to both sides</em>

4\dfrac{4}{5}=b\to b=\dfrac{24}{5}

Tatiana [17]3 years ago
5 0

Answer:

I think that the answer is C

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valentinak56 [21]

Answer:

Steve's pay is the highest and is equal to 55 dollars per hour.

The column for pay corresponding to 1 hour is $55.

Step-by-step explanation:

Geeta's pay:

The equation for Geeta's pay is given as:

p=75+45h

Where, 'p' is in dollars and 'h' is in hours.

The above equation is a linear equation of the form y=mx+b, where 'm' is the rate of change of pay or the pay per hour.

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Richard's pay:

The graph of Richard's pay is a straight line. The slope of the line gives the rate of change of pay or the pay per hour.

The slope of the line is given as:

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So, Richard's pay per hour is 30 dollars.

Steve's pay:

The table of hours and pay is given.

The rate of change or pay per hour can be obtained by using two values of both hours and pay.

Consider h=3\ and\ h=5 and p=165\ and\ p=275

Now, pay per hour = \frac{275-165}{5-3}=\frac{110}{2}=55 dollars

Therefore, Steve's pay per hour is 55 dollars.

The column for pay corresponding to 1 hour is $55.

On comparing, Steve's pay is the highest and is equal to 55 dollars per hour.

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