Question

The graph of a linear relationship passes through (0, 2), (0, 5), and (3, 11), but not through (2, 7). Which of the following is the equation for this linear relationship?

A. y = 3x + 2
B. y = 4x + 5
C. y = 2x + 3
D. y = 5x + 7

Answer 1

A. y = 3x + 2. The equation for the given linear relationship is y = 3x + 2.

Step-by-step explanation:

The equation for a linear relationship is usually of the form y = mx + b, where m represents the slope of the line and b represents the y-intercept.

To determine the equation for the given linear relationship, we can use the points (0, 2) and (3, 11) to find the slope. The slope is determined by the change in y divided by the change in x, which is (11 - 2)/(3 - 0) = 3. Using the point-slope form, we can then write the equation as y - 2 = 3(x - 0).

Expanding this equation gives us y - 2 = 3x, and adding 2 to both sides gives us the final equation y = 3x + 2. Therefore, the correct equation for the given linear relationship is y = 3x + 2.