Question

What is the equation of the line passing through the points (2, 5) and (1, 3) in slope-intercept form?

O y = x - 1
O y = 1/2 x + 2 / 2
O y = 2x - 1 2 3
O y = 3x + 2

Answer 1

The equation of the line passing through the points (2, 5) and (1, 3) is y = 2x + 1, found by calculating the slope and then using the slope and one point to determine the y-intercept.

Step-by-step explanation:

The equation of the line passing through the points (2, 5) and (1, 3) can be found using the slope-formula and the slope-intercept form of a line, which is y = mx + b, where m is the slope and b is the y-intercept. First, we calculate the slope (m) using the given points: m = (y2 - y1) / (x2 - x1) = (3 - 5) / (1 - 2) = -2 / -1 = 2. Next, we use point-slope form to find the y-intercept: 5 = 2(2) + b, which gives us b = 1. Finally, substituting m and b into the slope-intercept form, we get the equation of the line as y = 2x + 1.