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3 years ago

The given line passes through the points (0, −3) and (2, 3).

Mathematics

1 answer:

Alex3 years ago

6 0

Answer:

The equation would be y + 1 = 3(x + 1)

Step-by-step explanation:

In order to find the equation of this line, we have to use the slope formula to find the slope.

m (slope) = (y2 - y1)/(x2 - x1)

m = (3 - -3)/(2 - 0)

m = (3 + 3)/(2 - 0)

m = 6/2

m = 3

Now that we have that, we can use it along with the second point to put into the point-slope equation.

y - y1 = m(x - x1)

y - -1= 3(x - -1)

y + 1 = 3(x + 1)

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2 years ago

Determine whether the given value is a solution of the equation.

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3 years ago

Can a translation and a reflection map QRS to TUV? Explain why or why not. No, the triangles are not congruent. Yes, a translati

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2 years ago

Read 2 more answers

Does somebody know how to do this?

svetoff [14.1K]

Answer:

Total length of running track is 371.24 m .

Step-by-step explanation:

Total running track = Running track around straight region + running track around curved region.

Running track around straight region = 2 × length of straight region

= 2×82 m

= 164 m

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3 years ago

Sam and Sully are electricians. The graph represents the amount in dollars that Sam charges in terms of the number of hours he w

creativ13 [48]

Answer:

The initial amount Sam charges is [$4 greater than] the initial amount Sully charges. Sam’s hourly rate is [$2 less than] Sully’s hourly rate.

A graph is attached for reference.

Step-by-step explanation:

Given is the graph that represents the amount in dollars that Sam charges in terms of the number of hours he works.

Where two points are (0,40) and (1,60).

Finding the slope,

$m=\frac{(y2-y1)}{(x2-x1)} \\m=\frac{(60-40)}{(1-0)} \\m=\frac{20}{1} \\m=20$

Let us find the equation now,

$y-y1 = m(x-x1)$

Substituting (0,40) as (x1,y1) and slope m = 20

$y-40=20(x-0)\\y-40 = 20x\\y= 20x+40$

Here the 'y' intercept $40$ represents the initial charge of Sam.

On comparing the equations of Sam and Sully we observe that Sam initial charge is $40$ dollars.

And Sully's initial charge is $36$ dollars.

Thus Sam's initial charge is $4 greater than Sully's.

Similarly,

Slope represents their per hour charge.

The coefficient of 'x' represents their slope,

Slope in case of Sam,

$y=20x+40$ is $'20'$

And

Slope in case of Sully,

$y=22x+36$ is $'22'$

Thus on observing the slope 20 and 22, we say that the per hour charge of Sam is $2 less than that of Sully's.

4 0

3 years ago