Question

Write the equation of the line, in point-slope form, that passes through the points (-2,10) and (10, -14).

A) y - 10 = -2(x + 2)
B) y + 10 = -2(x - 2)
C) y - 10 = 2(x + 2)
D) y + 10 = 2(x - 2)

Answer 1

The equation of the line in point-slope form that passes through the points (-2,10) and (10, -14) is y - 10 = -2(x + 2).

Step-by-step explanation:

To find the equation of the line in point-slope form, we can use the formula y - y1 = m(x - x1), where (x1, y1) is one of the given points and m is the slope of the line. First, let's find the slope using the formula: m = (y2 - y1) / (x2 - x1). Plugging in the values, we have: m = (-14 - 10) / (10 - (-2)) which simplifies to m = -24 / 12 = -2.

Now, we can choose one of the points, say (-2, 10), and plug it into the point-slope formula. Thus, the equation of the line in point-slope form is y - 10 = -2(x + 2).