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Artist 52 [7]
3 years ago
12

Y=-7X-14 1. What is the y-intercept of the graph of the given function? How do you know?

Mathematics
1 answer:
34kurt3 years ago
7 0

Answer:

(0, -14)

Step-by-step explanation:

The y intercept of the graph of the function is at (0, -14)

In the equation y = mx + b, the constant b is the y value of the y intercept. In this equation, b is equal to -14, so this means the y intercept is at (0, -14).

We can also find the y intercept by setting x equal to 0, then solving for y.

Substitute 0 for x:

y = -7x - 14

y = -7(0) - 14

y = 0 - 14

y = -14

So, the y intercept is at (0, -14)

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FEE
frozen [14]

Answer:

The equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

  • y+2=\frac{3}{4}\left(x+4\right)
  • 3x - 4y = -4

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the line

3x - 4y = 7

writing in the slope-intercept form

4y = 3x - 7

dividing both sides by 4

4y/4 = 3/4x - 7/4

y = 3/4x - 7/4

Now, comparing with the slope-intercept form of the line equation

y = 3/4x - 7/4

The slope of the line m = 3/4

We know that parallel lines have the same slopes.

Therefore, the slope of the parallel line is: 3/4

now we have,

The point (-4, -2)

The slope m of parallel line = 3/4

Given the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

substituting (-4, -2) and m = 3/4 in the point-slope form of line equation

\:y-\left(-2\right)=\frac{3}{4}\left(x-\left(-4\right)\right)

y+2=\frac{3}{4}\left(x+4\right)

Thus, the equation in the point-slope form of the line equation is:

y+2=\frac{3}{4}\left(x+4\right)

Simplifying the equation

y+2=\frac{3}{4}\left(x+4\right)

Subtract 3 from both sides

y+2-2=\frac{3}{4}\left(x+4\right)-2

y=\frac{3}{4}x+1

Multiplying the equation by 4

4y = 3x + 4

3x - 4y = -4

Therefore, the equations represent the line that is parallel to 3x - 4y = 7 and pass through the point (-4,-2) are:

  • y+2=\frac{3}{4}\left(x+4\right)
  • 3x - 4y = -4
7 0
3 years ago
What is the value of h?<br><br> h = 20<br> h = 35<br> h = 55<br> h = 70
Makovka662 [10]
The interior angles next to the 2h angles are congruent and each one measures 70 degrees. Since the interior angle is 70 degrees  the exterior angle is 110 degrees.
2h = 110
divide both sides by 2
h = 55
8 0
3 years ago
Read 2 more answers
A cylinder has a base radius of 3 inches and a height of 3 inches. What is its volume in cubic inches, to the nearest tenths pla
Alika [10]
84.8 is the answer hope this helps
6 0
2 years ago
Find the unit rate: $9.60 for 8 cans.<br><br> $ per can
Lapatulllka [165]

Answer:

$1.20

Step-by-step explanation:

960÷8=120 :)))))))

6 0
3 years ago
Read 2 more answers
Select the correct answer.
wolverine [178]

Answer:

A. -4 + 6i

Step-by-step explanation:

Cause as we can see... (-2 - 2i)+(10-4i)

We get when we multiply 2x2=4i

Next 10-4=6

Hope it helped u

7 0
3 years ago
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