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neonofarm [45]
3 years ago
13

What is the equation of the line that passes through (4, -1) and (-2, 3)?

Mathematics
2 answers:
Zielflug [23.3K]3 years ago
6 0

Answer:

\displaystyle y=-\frac{2}{3}x+\frac{5}{3}

Step-by-step explanation:

We want to find the equation of the line that passes through the two points:

(4, -1) and (-2, 3).

First, we will find the slope of the two points. So:

\displaystyle m=\frac{3-(-1)}{-2-4}=\frac{4}{-6}=-\frac{2}{3}

Now, we will use the point-slope form given by:

y-y_1=m(x-x_1)

Use either point. I'm going to use (4, -1). So, substitute:

\displaystyle y-(-1)=-\frac{2}{3}(x-(4))

Simplify and distribute:

\displaystyle y+1=-\frac{2}{3}x+\frac{8}{3}

Subtract 1 from both sides. Therefore:

\displaystyle y=-\frac{2}{3}x+\frac{5}{3}

rewona [7]3 years ago
4 0

Answer:

3--1/-2-4=4/-6=2/-3

y=-2/3x+b

-2*-2/3=4/3

3-4/3=5/3

y=-2/3x+5/3

Step-by-step explanation:

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\qquad\qquad\huge\underline{{\sf Answer}}♨

Let's solve ~

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Area of composite figure :

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Step-by-step explanation:

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3 years ago
Which expression has a value of 1?
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<span>I am adding the brackets to show in which order the expressions will be evaluated:
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B.
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