Question

What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4)?

a. y+4=−1115(x+8)
b. y−4=−119(x−8)
c. y−4=−15(x−8)
d. y+4=−51(x−8)

Answer 1

The equation in point-slope form of a line that passes through the points (3, -5) and (-8, 4) is y + 5 = (-9 / 11)(x - 3).

Step-by-step explanation:

To find the equation in point-slope form of a line that passes through the points (3, -5) and (-8, 4), we can use the point-slope formula: y - y1 = m(x - x1). First, let's find the slope (m) using the formula: m = (y2 - y1) / (x2 - x1). Plugging in the coordinates, we have m = (-5 - 4) / (3 - (-8)) = -9 / 11. Now, choose one of the points (3, -5) and substitute the values into the point-slope formula: y - (-5) = (-9 / 11)(x - 3). Simplifying further, we get the equation: y + 5 = (-9 / 11)(x - 3). Therefore, the correct answer is (d) y + 4 = -5/11 (x - 8).