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BigorU [14]
3 years ago
12

Three lines are described below. Write an equation in slope-intercept form for each line.

Mathematics
1 answer:
grigory [225]3 years ago
7 0

a. Equation in slope-intercept form of a line parallel to y = 2/5x +1 will be: y = 2/5x + 5

b. Equation in slope-intercept form of a line perpendicular to y = 2/5x +1 will be: y = -5/2x + 1

c.  Equation in slope-intercept form of a line that is neither parallel nor perpendicular to y = 2/5x +1 will be: y = 3x + 1

<h3>Slope-intercept Equation of Parallel and Perpendicular Lines</h3>
  • Slope-intercept equation, where b is the y-intercept and b m is the slope is represented as y = mx + b.
  • Equations of parallel lines have the same slope.
  • Equations of perpendicular lines will have slope that are negative reciprocal of each other.
  • If two lines are neither parallel nor perpendicular, their equation will have different slopes, and the slope of one is not the negative reciprocal of each other.

Therefore:

a. Equation in slope-intercept form of a line parallel to y = 2/5x +1 will be: y = 2/5x + 5

b. Equation in slope-intercept form of a line perpendicular to y = 2/5x +1 will be: y = -5/2x + 1

c.  Equation in slope-intercept form of a line that is neither parallel nor perpendicular to y = 2/5x +1 will be: y = 3x + 1

Learn more about slope-intercept form on:

brainly.com/question/25826868

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Answer:

8/3

Step-by-step explanation:

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18. A tennis player uses up 800 calories every hour. In 1 hour and 15 minutes, how many calories does this player use? (A) 900 (
elena-14-01-66 [18.8K]
(C) 1000,
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4 0
2 years ago
which inequality is represented by this graph? A. y&lt;- 1/5x + 1 B. y&lt; - 1/5 x + 1 C. y&gt; - 1/5x + 1 D. y&gt; -1/5 x +1
Molodets [167]

The inequality represented by the graph is y < -\frac 15x + 1

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

The attached image represents the missing piece of the question

From the graph, we can see that the inequality is represented by dotted lines and the down region is shaded.

This is represented using the less than sign.

So, the inequality is calculated using:

y < \frac{y_2 -y_1}{x_2 -x_1} * (x -x_1) + y_1

Where:

(x1, y1) = (0, 1) and (x2, y2) = (5,0)

So, we have:

y < \frac{0 -1}{5-0} * (x -0) + 1

Evaluate

y < -\frac 15x + 1

Hence, the inequality represented by the graph is y < -\frac 15x + 1

Read more about inequality at:

brainly.com/question/25275758

#SPJ1

5 0
2 years ago
Write 0.4% as a fraction
gizmo_the_mogwai [7]
\frac{0,4}{100} = \frac{0,2}{50}= \frac{0,1}{25}= \frac{1}{250}
Hope that helps.Have a nice day!! ^^
8 0
3 years ago
Read 2 more answers
Please help me. I need to turn this 2y=3x+32 into standard form. PLEASE HELP
Artist 52 [7]

Answer:

3x - 2y = -32

Step-by-step explanation:

Ax + By = C

2y = 3x + 32

-3x  -3x

-3x + 2y = 32 (the leading coefficient needs to be positive)

-1(-3x + 2y = 32)

3x - 2y = -32

Hope this helps!

8 0
2 years ago
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