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What is the equation of the line that passes through (2, -7) and (-1, 2)? y = -3x - 1 y = 3x + 1 y = -x - 1 y = x + 1

User Pmr
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2 Answers

3 votes

ANSWER


y = - 3x - 1

EXPLANATION

The given line passes through

(2, -7) and (-1, 2)

We find the slope using the formula,


m = (y_2-y_1)/(x_2-x_1)


m = (2 - - 7)/( - 1 - 2)


m = (9)/( - 3) = - 3

The equation is given by;


y-y_1=m(x-x_1)

We substitute the values to get,


y - - 7 = - 3(x - 2)

Expand:


y + 7 = - 3x + 6


y = - 3x + 6 - 7


y = - 3x - 1

User YSC
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8.4k points
3 votes

Answer:

The answer is y=-3x - 1.

Explanation:

There are two ways to find the equation. First is to use the two-point slope form and the second is simply substitution of the given.

We simply substitute our given coordinates to our equation.

(2, - 7) and (-1, 2)

-7 = - 3(2) - 1. 2 =-3(-1) - 1

-7 = - 6 - 1. 2 = 3 - 1

-7=-7. 2 = 2

Thus, points (2,-7) and (-1,2) passes through y = - 3x - 1.

User Jakub Muda
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