Question

Write the equation in point-slope form for the line that contains the points (-2, -3), (4,3).

a. y + 3 = 1(x + 2)
b. y + 3 = -1(x - 2)
c. y - 3 = 1(x - 2)
d. y - 3 = -1(x + 2)

Answer 1

The equation in point-slope form for the line that contains the points (-2, -3) and (4, 3) is y + 3 = 1(x + 2).

Step-by-step explanation:

To write the equation in point-slope form for the line that contains the points (-2, -3) and (4, 3), we can use the formula: y - y1 = m(x - x1). Where (x1, y1) represents one of the given points and 'm' represents the slope.

First, let's find the slope 'm' using the formula: m = (y2 - y1) / (x2 - x1). Substituting the coordinates (-2, -3) and (4, 3) into the formula, we get: m = (3 - (-3)) / (4 - (-2)) = 6/6 = 1.

Now let's choose one of the points, we'll use (-2, -3). Substituting the values into the point-slope formula, we get: y - (-3) = 1(x - (-2)), which simplifies to y + 3 = 1(x + 2).