Question

Write a linear equation in point-slope form for the line that goes through (1, -1) and (-1, 5).

A. y + 1 = -3(x - 1)
B. y + 1 = 2(x - 1)
C. y - 1 = 3(x + 1)
D. y - 1 = -3(x + 1)

Answer 1

To write a linear equation in point-slope form, we need to use the formula y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. The correct equation is y + 1 = -3(x - 1).

Step-by-step explanation:

To write a linear equation in point-slope form, we need to use the formula y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. given the points (1, -1) and (-1, 5), we can calculate the slope m using the formula m = (y2 - y1) / (x2 - x1). substituting the values, we get m = (5 - (-1)) / (-1 - 1) = 6 / -2 = -3.

Now we can substitute the slope and one of the points into the point-slope form equation and simplify to find the answer. using (1, -1), we get the equation y - (-1) = -3(x - 1) which simplifies to y + 1 = -3(x - 1).

Therefore, the correct answer is A. y + 1 = -3(x - 1).