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marysya [2.9K]
3 years ago
12

Write the point-slope form of the equation of the line through the given points through: (-3,-1) and (-2,5)?

Mathematics
1 answer:
nevsk [136]3 years ago
7 0

The point-slope form of the equation of the line through the given points through: (-3,-1) and (-2,5) is y + 1 = 6x + 18

<u>Solution:</u>

Given, two points are (-3, -1) and (-2, 5)

We have to find that a line that passes through the given two points.

First let us find the slope of the line that passes through given two points.

<em><u>The slope of line "m" is given as:</u></em>

\text { slope of line } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text { where, }\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right) \text { are two points on line. }

Now, let us find the line equation using point slope form

y-y_{1}=m\left(x-x_{1}\right)

where m is slope

\begin{array}{l}{\text { Then, line equation } \rightarrow y-(-1)=6(x-(-3))} \\\\ {\rightarrow y+1=6(x+3)} \\\\ {\rightarrow y+1=6 x+18}\end{array}

Hence the point slope form is y + 1 = 6x + 18

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Step-by-step explanation:

y=-2x+1 so we say (-2x+1)

we flip the equation by saying

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Divide both sides by -2

-2÷-1 = y-1÷-2

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5 0
1 year ago
Which of the following is the factored form of 9y2-121​
lukranit [14]
It's the first one.

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Find q if p = -12 and the quotient p/q = -3.
Klio2033 [76]

Answer:

The answer is B) 4

Explanation:

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3 years ago
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8 There are a combined 33 students who play a spring sport of track or
Rzqust [24]

The number of students that are on the track team are 18.

The number of students that are on the baseball team are 15.

<h3>What are the linear equations that represent the question?</h3>

a + b = 33 equation 1

a - b = 3 equation 2

Where:

  • a = number of students that are on the track team
  • b = number of students that are on the baseball team

<h3>How many students that are on the baseball team?</h3>

Subtract equation 2 from equation 1

2b = 30

Divide both sides by 2

b = 30/2 = 15

<h3>How many students that are on the track team?</h3>

Subtract 15 from 33: 33 - 15 = 18

To learn more about simultaneous equations, please check: brainly.com/question/25875552

#SPJ1

8 0
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NEED HELP ASAP
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Answer:

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Step-by-step explanation:

Corresponding angles in a transversal are congruent. This can be proved by using the alternate exterior angles theorem, which would make these two angles alternate interior angles. With this, we can form a new equation.

Solve Algebraically

5x+23=7x+13

5x+10=7x

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10=2x

<h2>x=5</h2><h2 />

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