Question

Which equation in point-slope form contains the points (8, 10) and (-4, 2)?

a) y - 10 = x - 8
b) Y - 10 = (x = 8)
c) 7 - 8 = x - 10
d) x - 8 - 2 1 - 10

Answer 1

The equation in point-slope form that contains the points (8, 10) and (-4, 2) is y - 10 = (2/3)(x - 8), derived from calculating the slope between the two points and applying it to the point-slope equation format.

Step-by-step explanation:

To find which equation in point-slope form contains the points (8, 10) and (-4, 2), we first need to determine the slope of the line that passes through these points. This slope (m) can be calculated using the formula:

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

Substituting the given points into the formula gives us:

m = (2 - 10) / (-4 - 8) = (-8) / (-12) = 2/3

Now that we have the slope, we can write the point-slope form of the equation using either of the two given points. For example, using the point (8, 10), the point-slope form is:

y - 10 = (2/3)(x - 8)