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garik1379 [7]
3 years ago
7

A coordinate plane with a line passing through (0, negative 4) and (2, 0). What is the equation of the graphed line written in s

tandard form? 2x – y = –4 2x – y = 4 y = 2x – 4 y equals StartFraction one-half EndFraction x minus 4.
Mathematics
2 answers:
Hoochie [10]3 years ago
5 0

Answer:

<em>d) The equation of the line passing through the points </em>

y = \frac{-x}{2} - 4

Step-by-step explanation:

<u><em>Step(i):</em></u>-

Given points are ( 0, -4) and (2 ,0)

slope of the line

               m = \frac{y_{2}- y_{1}  }{x_{2}- x_{1}  } = \frac{2-0}{0-4} = \frac{-2}{4}= \frac{-1}{2}

<u><em>Step(ii):</em></u>-

The equation of the line passing through the point ( 0,-4) and having slope

m = \frac{-1}{2}

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

y - (-4) = \frac{-1}{2}  ( x - 0 )

2 ( y +4) = -x

2 y + 8 = -x

2 y = - x - 8

 y = \frac{-x}{2} - \frac{8}{2}

 y = \frac{-x}{2} - 4

<u><em>Final answer:-</em></u>

<em>The equation of the line passing through the points </em>

y = \frac{-x}{2} - 4

<em></em>

<em></em>

kramer3 years ago
3 0

Answer: B

Step-by-step explanation:

2x – y = 4. remember to make x zero then y to find the points on the coordinate plane. (I did get this answer right on the test).

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