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3 years ago

Write the equation of the line in point-slope form that passes through (5, -1) and has a slope of 2/3

Mathematics

1 answer:

kolezko [41]3 years ago

5 0

Answer:

y-(-1)=2/3(x-5)

Step-by-step explanation:

Point slope form is

y-y_1=m(x-x_1) where m is the slope, x_1 is the x coordinate of a point that the line passes through, and y_1 is the y coordinate of a point the line passes through.

Substituting, we get

y-(-1)=2/3(x-5)

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Klio2033 [76]

Given the system of equations. We have:

- For (5,0)

Substitute x = 5 and y = 0 in the equations:

$\begin{gathered} 5(5)+4(0)=-1 \\ 25+0=-1 \\ 25\ne-1 \end{gathered}$

Answer: No

- For (-7, -8)

x = -7 and y = -8

$\begin{gathered} 5(-7)+4(-8)=-1 \\ -35-32=-1 \\ -67\ne-1 \end{gathered}$

Answer: No

- For (3, -4)

$\begin{gathered} 5(3)+4(-4)=-1 \\ 15-16=-1 \\ -1=-1 \\ \text{and} \\ 3(3)-2(-4)=-5 \\ 9+8=-5 \\ 17\ne-5 \end{gathered}$

This is satisfied for the first equation but not for the second. Therefore it is not a solution to the system.

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- For (-2, -2)

$\begin{gathered} 5(-2)+4(-2)=-1 \\ -10-8=-1 \\ -18\ne-1 \end{gathered}$

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