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Goryan [66]
2 years ago
14

A line goes through the points (4, 5) and (2, -6). Write the equation of the line in point-slope form. Show your work for full c

redit. (Show how you went from those two points to having the equation in point-slope form?) Circle your answer (4 points)
Mathematics
1 answer:
ehidna [41]2 years ago
4 0

Answer:

y = 5.5x – 17

Step-by-step explanation:

Slope (m) = ΔY/ΔX=11/2 =5.5

When x=0, y = -17

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Two linear equations are shown. A coordinate grid with 2 lines. The first line is labeled y equals StartFraction one-third EndFr
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Answer:

(7,\frac{13}{3})

Step-by-step explanation:

we have

<em>The equation of the first line</em>

y=\frac{1}{3}x+2 ------> equation A

<em>The equation of the second line</em>

y=\frac{4}{3}x-5 ------> equation B

Solve the system of equations by elimination

Multiply equation A by -4 both sides

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

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Adds equation B and equation C

y=\frac{4}{3}x-5\\-4y=-\frac{4}{3}x-8\\--------\\y-4y=-5-8\\-3y=-13\\y=\frac{13}{3}

<em>Find the value of x</em>

substitute the value of y

\frac{13}{3}=\frac{1}{3}x+2

\frac{1}{3}x=\frac{13}{3}-2

Multiply by 3 both sides

x=13-6

x=7

therefore

The solution to the system of equations is the point (7,\frac{13}{3})

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Answer:

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