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Serjik [45]
3 years ago
11

Write an equation of a line that passes through the point (1. -4) and has a slope of -3

Mathematics
1 answer:
Anna71 [15]3 years ago
3 0
To answer this, you need to know the slope point formula:
y - y1 = m (x - x1)

In this case, (1, -4) represent y1 and x1. m is equal to the slope, which is -3.

y - (-4) = -3 (x - 1)
y + 4 = -3x + 3
y = -3x + 3
-4
y = -3x - 1

Answer: y = -3x -1
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Where:

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According to the data of the statement we have the following points:

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We found the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 9)} {- 6 - (- 9)} = \frac { 9} {- 6 + 9} = \frac {9} {3} = 3

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y = 3x + 18

Answer:

y = 3x + 18

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