Question

A coordinate plane with a line passing through points (1, 2) and (4, 4) The slope of the graphed line is . Which formulas represent the line that is graphed? Check all that apply. y – 1 = (x – 2)

Answer 1

Explanation:

To determine which formulas represent the line passing through the points (1, 2) and (4, 4), we can calculate the slope of the line using the formula:

slope = (change in y)/(change in x) = (y2 - y1)/(x2 - x1).

Given the points (1, 2) and (4, 4), we can substitute the values into the slope formula:

slope = (4 - 2)/(4 - 1) = 2/3.

Now, we can check the given formulas to see which ones have a slope of 2/3:

a. y - 1 = (x - 2):

This formula does not have a slope of 2/3, so it does not represent the line.

Therefore, the formula "y - 1 = (x - 2)" does not represent the line passing through the points (1, 2) and (4, 4).