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Alex_Xolod [135]
3 years ago
12

A line passes through the points one, four and three, -4 which is the equation of the line

Mathematics
1 answer:
gavmur [86]3 years ago
6 0

ANSWER

y =  - 4x + 8

EXPLANATION

The given line passes through (1,4) and (3,-4).

The slope of this line is calculated using the formula:

m =\frac{y_2-y_1}{x_2-x_1}

We substitute the points into the slope formula to get:

m =  \frac{ - 4 - 4}{3 - 1}

\implies \: m =  \frac{ - 8}{2}

m =  - 4

We substitute the first point and slope into the point-slope formula

y-y_1=m(x-x_1)

This implies that

y -  4 =  - 4(x - 1)

We expand to get

y - 4 =  - 4x  +  4

y =  - 4x + 2/4+ 4

y =  - 4x + 8

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we know that

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<u>the answer is</u>

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ANSWER

See attachment.

EXPLANATION

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Answer:

  • See below

Step-by-step explanation:

<u>Given system:</u>

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