Question

Write the equation of a line given the slope m = 3/4 and passing through the point (2, 5).

A. y - 5 = (3/4)(x - 2)
B. y - 2 = (3/4)(x - 5)
C. y = (3/4)x + 2
D. y = (3/4)x - 5

Answer 1

The correct equation of a line with a slope of 3/4 and passing through the point (2, 5) is y - 5 = (3/4)(x - 2), which corresponds to Option A.

Step-by-step explanation:

To write the equation of a line with a given slope (m) and passing through a specific point, you can use the point-slope form of a line's equation:

y - y1 = m(x - x1)

For the slope m = 3/4 and the point (2, 5), the equation becomes:

y - 5 = (3/4)(x - 2)

This is the point-slope form of the equation for a line, and among the given options, Option A. y - 5 = (3/4)(x - 2) is the correct equation that satisfies the given criteria.