Question

Write the equation of the line (slope-intercept) that passes through the given points: (9/8,0) and (11/8,1/2).

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

Answer 1

The equation of the line passing through the given points is y = (1/4)x - 9/32.

Step-by-step explanation:

To find the slope-intercept equation of a line passing through two given points, we use the formula: y = mx + b, where m is the slope and b is the y-intercept.

Given the points (9/8, 0) and (11/8, 1/2), we can calculate the slope as follows: m = (1/2 - 0) / (11/8 - 9/8) = 1/4.

Since we have the slope, we can substitute it into the slope-intercept equation to find the y-intercept. Using the point (9/8, 0), we get: 0 = (1/4)(9/8) + b. Solving this equation gives b = -9/32.

Therefore, the equation of the line is: y = (1/4)x - 9/32.