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emmainna [20.7K]
3 years ago
11

How do you determine the slope interscept equation of two given pointa

Mathematics
1 answer:
DiKsa [7]3 years ago
7 0

Step-by-step explanation:

To find the slope intercept form of any equation using two points, you first need to find the slope. You can do this using the slope formula below.

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

In this equation, we find the slope by putting in the values we have given the points. The first point you have would be (x1, y1). So if your first point is (3, 1), you would put 3 in for x1 and 1 in for y1. Then you do the same for the second point using (x2, y2).

After you've solved that equation and got m, you can use point-slope form. Take your first point and your newly found slope and plug the values into the following equation.

y - y1 = m(x - x1)

After this, you can solve for y and that will be your slope intercept form.

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Sarah bought a shirt on sale for $35. The original price of the shirt was three times that amount Sarah also bought a pair of sh
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Answer:

$245


Step-by-step explanation:

Orignal price for shirt was 105

Original price for shoe sizes was 140

105+140=245

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3 years ago
Which of the following is the last step in creating a budget?
pentagon [3]
If you list the answer choices, I might be able to help you better.
8 0
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Solve for x and explain
galben [10]
Since the two lines are parallel, the angle labeled 130 is congruent to the angle labeled x+ 136 so you can set them equal to each other

130 = x + 136
subtract 136 from both sides

x = -6
4 0
3 years ago
Read 2 more answers
I need help!! On this question please hurry
hichkok12 [17]

Step-by-step explanation:

<u>Given</u><u>:</u>

Central Enlargement.

AC=4

AB=5

BC=3

Opp=3

Hyp=5

<u>Required</u><u>:</u>

Sin<A

<u>Formula</u><u>:</u>

Sin<A=Opp/hyp

<u>Solution</u><u>:</u>

Sin<A=Opp/Hyp

Sin<A=3/5 or 0.6

5 0
3 years ago
(a) Derive an equation of the line passing through the points A(0, 545) and B(4, 726). (Let t be the independent variable and y
a_sh-v [17]

Answer:

The equation of the line is y=45.25t+545

Step-by-step explanation:

The general for of a line is:

y=mt+n       (1)

where:

m is the slope of the line and m is the intercept with the axis of the dependent variable, y in this case.

In order to obtain the value of the slope (m) we can use the corresponding slope formula:

m=\frac{y_{2}-y_1 }{t_2-t_1}         (2)

where t_1, t_2, y_1 and y_2 are the corresponding coordinates of the given points. In this case:

t_1=0\\t_2=4\\y_1=545\\y_2=726\\

Substituting these values in equation (2) we obtain:

m=\frac{726-545}{4-0}=\frac{181}{4}=45.25\\m=45.25

Hence, the line equation is now:

y=45.25t+n     (3)

Now to obtain the value of n you can follow two options:

  1. You can substitute one of your points, A or B, in equation (3). In this way, you will obtain an equation where the variable is n

Note that for this question, it is easier to select point A because of having the independent variable equals to zero t=0. Hence, substituting point A in equation (3):

45.25*0+n=545\\n=545

Therefore, the line equation is: y=45.25t+545

The second option to find n is to think of the meaning of the <em>intercept</em>. The <em>intercept </em>of a line is defined as the point in which the line crosses the axis of the dependent variable, which also means that the value of the independent variable for this point is zero. From this, we could have automatically said that n is equal to 545.

See the attachment for a plot of the line.

7 0
3 years ago
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