Question

Given that (120, 70) is a point on a line with the slope 1/4, what is the point-slope form of the linear function?

Options:

A) Y = 1/4x + 70
B) Y = 1/4x - 70
C) Y = 4x + 1/70
D) Y = 4x - 1/70

Answer 1

The point-slope form of the linear function is Y = 1/4x + 40 (option A).

Step-by-step explanation:

The point-slope form of a linear function is given by the equation y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. In this case, the given point is (120, 70) and the slope is 1/4. Substituting these values into the equation, we have:

y - 70 = 1/4(x - 120)

Expanding the equation:

y - 70 = 1/4x - 30

Further simplifying:

y = 1/4x - 30 + 70

y = 1/4x + 40

Therefore, the point-slope form of the linear function is Y = 1/4x + 40 (option A).