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3 years ago

Find an equation for the line below

Mathematics

1 answer:

yanalaym [24]3 years ago

4 0

Answer:

y = 1/2x +7/2

Step-by-step explanation:

The two marked points are 2 units apart vertically, and 4 units apart horizontally. The slope of it is ...

m = rise/run = 2/4 = 1/2

The value of the y-intercept can be found from

b = y -mx . . . . . . where (x, y) is a point on the line

Using the point (-1, 3), we find the y-intercept to be ...

b = 3 -(1/2)(-1) = 3 1/2 = 7/2

Then the slope-intercept equation is ...

y = mx +b

y = 1/2x +7/2

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Is the following shape a right triangle? how do you know

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Answer:

Yes, the following shape is a Right Triangle because it has a 90 Degree Angle!

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2 years ago

3) Scenario 1 Scenario 2 y = 50x x is time in hours y is distance in miles Compare the scenarios and determine which shows the g

Olegator [25]

Answer:

Option A.

Step-by-step explanation:

Consider the below figure attached with this question.

Scenario 1 represented by the graph.

From the graph it is clear that the line passes through the points (1,60) and (2,120).

Slope of the line is

$y=\dfrac{y_2-y_1}{x_2-x_1}$

$y=\dfrac{120-60}{2-1}=60$

The slope of line is 60. It means the speed is 60 miles per hour.

Scenario 2 defined by the equation,

$y=50x$

If an equation defined as $y=mx+b$ , then m is slope and b is y-intercept.

$m=50$

The slope of line is 50. It means the speed is 50 miles per hour.

The slope of Scenario 1 is greater than slope of Scenario 2. So, the Scenario 1 shows the greater speed.

Hence, the correct option is A.

6 0

3 years ago

Read 2 more answers

Explain in a short paragraph how the figure below shows this is a right triangle, by the converse of the Pythagorean Theorem.

pantera1 [17]

Please provide us with the figure

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3 years ago

Please help me answer these questions if you give an answer you are a lifesaver

il63 [147K]

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3 years ago

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egoroff_w [7]

Answer:

Plot $3$ and $-3$

Step-by-step explanation:

Given:

$|2n| = 6$

Solving for the positive part of the equation:

$2n = 6 \\ \frac{2n}{2} = \frac{6}{2} \\ n = 3$

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$-2n = 6 \\ \frac{-2n}{-2n} = \frac{6}{-2} \\ n = -3$

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3 years ago