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olga2289 [7]
3 years ago
7

Select the equation in which the graph of the line has a positive slope, and the y-intercept equals -8.

Mathematics
1 answer:
IgorLugansk [536]3 years ago
5 0
The second one. 10x - 5y = 40
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On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 3, negative 7) and (0, 2). Everyth
crimeas [40]

The inequality described can be written as:

y < 3x + 2.

<h3>How to get the inequality?</h3>

First, we know that we have a dashed line, and the region to the left of that line is shaded, then we will have:

y < line.

The linear equation is of the form:

y = a*x + b

Where a is the slope and b is the y-intercept.

Remember that if a line passes through the points (x₁, y₁) and (x₂, y₂), then the slope is:

a = \frac{y_2 - y_1}{x_2 - x_1}

Here we know that the line passes through (-3, -7) and (0, 2), so the slope is:

a = \frac{2 - (-7)}{0 - (-3)} = 9/3 = 3

And because the line passes through (0, 2), the y-intercept is 2, then the inequality is:

y < 3x + 2.

If you want to learn more about inequalities:

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8 0
2 years ago
Y=1/2x+2 need answers on graph
Aneli [31]

Answer:

the slope is 1/2 and the Y - intercept is 2

X       Y

0       2

2       3

Step-by-step explanation:

5 0
3 years ago
An electric company charges an initial monthly fee for service and a fixed rate per kilowatt-hours (kWh) used. This table shows
Vlada [557]

<em>Here we are required to determine the initial monthly fee charged by the electric company.</em>

The initial fee charged by the electric company is; C = $10

To solve this, we need to evaluate the slope and intercepts of the equation of the straight line graph of the relation.

y = mx + c.

  • where m = slope of the relation.

  • and c = <em>intercept = the initial fee charged by the electric company</em>.

  • y = <em>Monthly charge at each time</em>.

  • x = Usage

To find the slope;

  • m = (y2 - y1)/(X2 - x1)

  • m = (28 -22)/(150 - 100)

  • m = 6/50

  • m = 0.12.

By substituting m into the equation y = mx + c, alongside a pair of values of usage and monthly charge, we can obtain the intercept, c (i.e the initial fee charged).

Therefore, m = 0.12 , y = 82 and X = 600;

we then have;

  • 82 = 0.12(600) + c.

  • C = 82 -72

  • C = $10.

Therefore, the initial fee charged by the electric company is; C = $10.

Read more:

brainly.com/question/22163485

8 0
2 years ago
You are paid $10.50/hr and work 15 hours how much will you be paid
guajiro [1.7K]

For 15 Hours Of Work, You Will Be Paid $157.50. Just Multiply 10.50 By 15 And You Got Your Answer.

7 0
3 years ago
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The Sharps purchased a new sectional. The cost
svet-max [94.6K]

Answer:

$1913.34

Step-by-step explanation:

$1784 (original amount) * 7.25% (sales tax) = $129.34 Tax paid

129.34 + 1784 = Price after tax

6 0
2 years ago
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