Question

Which equation has the same slope as the line passing through the points

(2, – 7) and (3, 5)
A. y = -2x - 10
B. y = 1x + 14
C. y = 12x - 5
D. y = -x - 9

Answer 1

To determine which equation has the same slope as the line passing through the points (2, -7) and (3, 5), we use the formula for finding slope, m = (y2 - y1) / (x2 - x1). The slope is found to be 12. Checking each equation, only equation C, y = 12x - 5, has the same slope of 12. Therefore, the answer is C.

Step-by-step explanation:

To determine which equation has the same slope as the line passing through the points (2, -7) and (3, 5), we first need to find the slope of the line. The formula for finding the slope between two points is given by:

m = (y2 - y1) / (x2 - x1)

Using the coordinates (2, -7) and (3, 5), we can substitute the values into the formula:

m = (5 - (-7)) / (3 - 2) = 12 / 1 = 12

Now that we know the slope is 12, we can check each equation and see which one has the same slope:

• A. y = -2x - 10 has a slope of -2
• B. y = 1x + 14 has a slope of 1
• C. y = 12x - 5 has a slope of 12
• D. y = -x - 9 has a slope of -1

Only equation C, y = 12x - 5, has the same slope of 12 as the line passing through the given points. Therefore, the answer is C.