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erica [24]
3 years ago
9

What is the slope-intercept form of the equation of the line that passes through the points

Mathematics
2 answers:
seraphim [82]3 years ago
4 0

d. y = 3/4x + 17/4.

To write the slope-intercept form y = mx + b of a line passing through (-3, 2) and (1,5).

First, we have to calculate the slope m.

m = (y₂-y₁)/(x₂-x₁), with (x₁, y₁) = (-3, 2) and (x₂, y₂) = (1, 5)

m = (5 - 2)/(1 - (-3))

m = 3/4

Second, we have to find the y-intercept.

y = mx + b, where m is the slope and b is the y-intercept.

Using one of the two ordered pair and plug it in for x and y in the equation y = mx + b.

Taking the ordered pair (1, 5):

5 = 3/4 (1) + b

5 = 3/4 + b

Solving for b

b = 5 - 3/4

b = [5(4) - 3(1)]/4

b = (20 - 3)/4

b = 17/4

Finally, write down the slope-intercept equation of the form y = mx + b, with m = 3/4 and b = 17/4:

y = mx + b

y = 3/4x + 17/4

mixer [17]3 years ago
4 0

Answer:

d.  y = 3/4 x + 17/4.

Step-by-step explanation:

The slope = (2-5) / (-3-1) = 3/4

Using the point-slope form

y - y1 = m(x - x1) we get:

y - 2 = (3/4)(x - (-3))

y = 3/4 x + 9/4 + 2

y = 3/4 x + 17/4.

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Answer:

12.5

Step-by-step explanation:

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hope this helps

6 0
3 years ago
James puts $3,500 into a savings account that earns 2.5% simple interest. He does not touch that account for 3 years. What would
miskamm [114]

Given :

James puts $3,500 into a savings account that earns 2.5% simple interest.

He does not touch that account for 3 years.

To Find :

The new balance of the account be after 3 years.

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So, new balance of the account after 3 years is $( 3500+262.5 ) = $3762.5  .

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3 0
3 years ago
Steps to solving y=2x+3 x=y-8
tatuchka [14]
First, plug in x=y-8 to y=2x+3
Next, it would be y=2(y-8)+3
Then, you need to distribute: y= 2y-16+3
After that, move 2y to the other side: -y= -13 (notice I also did -16+3)
Finally, divide negatives into both sides: y=13

Now to find x just plug in 13 to either of the equations: 13=2x+3
Then solve: x=5
So the FINAL answer is: (5,13)
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3 0
3 years ago
COLLEGE Troy's grandfather gave him $700 to start his college savings account. Troy's grandfather also gives him $40 each month
eduard

Answer:

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3 years ago
Ahmad made a shirt using 1/4 yards of yellow fabric and 1/8 yards of red fabric. How many more yards of yellow fabric did Ahmad
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convert 1/4 to eighths

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6 0
2 years ago
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