Question

Which of the following represent(s) an equation of the line passing through the points A(5, 6) and B(4, 8). Select all that apply.

1.)y = -2x – 4
2.)y = -2x + 16
3.)y – 8 = -2(x – 6)
4.)2x + y = 16
5.)2x + y = -16

Answer 1

B and D

Explanation:

Answer 2

Here, first we need to calculate the slope
m = y2 - y1 / x2 - x1
m = 8 - 6 / 4 - 5
m = 2 / -1
m = -2

Now, y - y1 = m(x - x1)
y - 6 = -2(x - 5)
y - 6 = -2x + 10
y = -2x + 16

In standard form it would be:
2x + y = 16

In short, Your Answers would be Option B & D

Hope this helps!