Question

The table represents a linear equation.

Which equation correctly uses point (-2, -6) to write the
equation of this line in point-slope form?
х
-4
-2
6
10
y
-11
-6
14
24
y-6 = {(x - 2)
• y-6 = (x - 2)
y +6 = } (x + 2)
y+6= {(x + 2)

Answer 1

d is the right choice

Explanation:

Answer 2

see below

Explanation:

Considering the last two table entries, we can find the slope of the line to be ...

Δy/Δx = (24 -14)/(10 -6) = 10/4 = 5/2

The point-slope form of the equation for a line with slope m through point (h, k) is ...

y -k = m(x -h)

For (h, k) = (-2, -6) and m = 5/2, this is ...

y -(-6) = 5/2(x -(-2))

y +6 = 5/2(x +2) . . . . . matches the last choice