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jarptica [38.1K]
3 years ago
9

Choose the point-stope form of the equation below that represents the line that passes through the point (-1, 6) and has a slope

of -3
Mathematics
2 answers:
Keith_Richards [23]3 years ago
6 0

Answer:

y-6 = -3(x+1)

Step-by-step explanation:

The point-slope form of a line is the following:

y-yo = m(x-xo), where 'm' is the slope and (xo, yo) is any point where the line passes through.

In this case, m=-3 and (xo, yo) = (-1, 6).

Therefore: y-yo = m(x-xo) = y-6 = -3(x+1)

In conclusion, the point-slope form of the equation that represents the line that passes through the point (-1, 6) and has a slope of -3 is:

y-6 = -3(x+1)

tia_tia [17]3 years ago
6 0

For this case we have that the equation of a line in the point-slope form is given by:

(y-y_ {0}) = m (x-x_ {0})

Where:

m: It's the slope

(x_ {0}, y_ {0}): It is a point through which the line passes

According to the data we have to:

m = -3\\(x_ {0}, y_ {0}) = (- 1,6)

So the equation is:

(y-6) = - 3 (x - (- 1))\\(y-6) = - 3 (x + 1)

Answer:

(y-6) = - 3 (x + 1)

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