Question

Which equation represents the line that passes through

the points (2,7) and (1,5)?
Select one:
A)y = 2x - 12
B)y = - 2x + 11
C)y = 2x +3
D)y = - 2x + 16

Answer 1

The equation representing the line passing through the given points (2,7) and (1,5) is y = 2x + 3.

Step-by-step explanation:

The equation representing the line that passes through the points (2,7) and (1,5) can be found using the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

1. Calculate the slope using the formula: m = (y2 - y1) / (x2 - x1). In this case, (x1, y1) = (2, 7) and (x2, y2) = (1, 5).
2. Substitute the values of the slope and any of the given points into the equation y = mx + b, and solve for b.
3. Write the final equation in the form y = mx + b.

The equation that represents the line passing through the given points is y = 2x + 3, so the correct answer is C.