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andrey2020 [161]
3 years ago
14

Write each equation in slope-intercept form.

Mathematics
2 answers:
Alexxx [7]3 years ago
5 0

Answer:

A. y = -3/2x + 1

B. y = -5/3x + 10

C. y = -x + 6/5

Step-by-step explanation:

A. You just have to isolate the y so divide by 4: y = -3/2x + 1

B. 3y = -5x + 30

Divide by 3: y = -5/3x + 10

C. -5x + 6 = 5y

Divide by 5: -1x + 6/5 = y OR y = -x + 6/5

Eddi Din [679]3 years ago
5 0
See attached photo for solution

please give a thanks or brainliest if you found my answer helpful :)

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What is the equation of a line that passes through the point?
Artist 52 [7]
<h3>Answer: 3x-2y = 5 (choice A)</h3>

=====================================================

Explanation:

The given graph passes through (0,2) and (2,5)

The slope of this line is

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

m = (5-2)/(2-0)

m = 3/2

Since the y intercept is b = 2, we go from y = mx+b to y = (3/2)x+2, which is the equation of the graphed line shown.

Any parallel line will have the same slope, but a different y intercept.

-------------------

The parallel line must pass through (x,y) = (3,2). We'll use these coordinates along with m = 3/2 to find the y intercept b

y = mx+b

2 = (3/2)(3)+b

2 = 9/2+b

2-9/2 = b

4/2 - 9/2 = b

-5/2 = b

b = -5/2 ... is the new y intercept

The equation of the parallel line is y = (3/2)x-5/2, which is in slope intercept form

-------------------

Let's convert to standard form

y = (3/2)x-5/2

2y = 3x-5 .... multiply everything by the LCD 2 to clear out fractions

2y+5 = 3x

3x = 2y+5

3x-2y = 5 ... is the equation in standard form of the parallel line

-------------------

As a check, we can plug (x,y) = (3,2) into that last equation above to get

3x-2y = 5

3*3-2*2 = 5 ... replace x with 3, replace y with 2

9-4 = 5

5 = 5

Confirming that (x,y) = (3,2) is on the line.

3 0
3 years ago
Divide: <br> -20.48<br> -----------<br> -4
marysya [2.9K]
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