Question

Which equation represents the line that passes through the
points (6, –3) and (–4, –9)?
(1 point)
y + 4 = 3/5(x + 9)
y + 4 = 5/3 (x + 9)
y - 3 = 3/5(x + 6)
y + 3 = 3/5(x – 6)

Answer 1

To find the equation of the line passing through the points (6, –3) and (–4, –9), we can first find the slope of the line using the formula:

slope = (change in y) / (change in x) = (y2 - y1) / (x2 - x1)

Using the coordinates of the points, we have:
slope = (-9 - (-3)) / (-4 - 6) = (-9 + 3) / (-10) = -6 / -10 = 3/5

Now that we have the slope, we can use the point-slope form of a linear equation:

y - y1 = m(x - x1)

Let's use the point (6, -3) to find the equation:
y - (-3) = (3/5)(x - 6)
y + 3 = (3/5)(x - 6)

Therefore, the correct equation that represents the line passing through the points is:
y + 3 = (3/5)(x - 6)