Question

Complete the point-slope equation of the line through (1,3) and (5,1). Use exact numbers.

a. "y-3=2/-4(x-1)"
b. "y-3=-2/4(x-1)"
c. "y-3=-2/4(x+1)"
d. "y-3=2/4(x+1)"

Answer 1

The point-slope equation of the line through (1,3) and (5,1) is y - 3 = -1/2(x - 1).

Step-by-step explanation:

The point-slope equation of a line can be determined using the formula: y - y1 = m(x - x1), where m is the slope of the line and (x1, y1) is a point on the line.

Given the points (1,3) and (5,1), we can calculate the slope using the formula: m = (y2 - y1) / (x2 - x1). Substituting the values, we get: m = (1 - 3) / (5 - 1) = -2/4 = -1/2.

Using the point (1,3) and the calculated slope -1/2, we can write the point-slope equation as: y - 3 = -1/2(x - 1).