Question

Write the equation in point-slope form for the line through (2,0) and (14,18).

A) y = 2x - 4
B) y = x + 2
C) y = 1.5x + 3
D) y = 2x + 2

Answer 1

The equation of the line in point-slope form that passes through the points (2,0) and (14,18) is found by calculating the slope, which is 1.5, and then using point-slope form. The correct equation is y = 1.5x + 3.

Step-by-step explanation:

To find the equation of the line in point-slope form that passes through the points (2,0) and (14,18), we first need to determine the slope (m) of the line.

The slope is calculated as the change in y divided by the change in x, or rise over run. Using the given points:

m = (y2 - y1) / (x2 - x1)
m = (18 - 0) / (14 - 2)
m = 18 / 12
m = 1.5

Now, we use one of the given points and the slope to write the point-slope form of the equation, which is y - y1 = m(x - x1). Using the point (2,0), the equation is:

y - 0 = 1.5(x - 2)
y = 1.5x - 3

The best matching answer from the choices provided is: C) y = 1.5x + 3