Question

Which of the following is the point and slope of the equation y - 11 = 3(x + 13)?

(-13, 11), 3


(13, 11), 3


(-13, 11), -3


(-13, -11), 3

Answer 1

(-13, 11), 3.

Explanation:

This equation is written in the point-slope form of a straight line:

y - y1 = m(x - x1) where m = the slope and (x1, y1) is a point on the line.

So comparing this with the given equation:

y - 11 = 3(x + 13),

we see that y1 = 11 and -x1 = 13 so x1 = -13 and m = 3.

Answer 2

The answer is A.

The equation simplifies to y=3x+50.
So, C is already not an option.

Now we just plug in points to see if the point works for the equation.

A-11=3(-13)+50
11=-39+50

11=11

Thus, this point falls on the line of this equation and is a point.

So, the answer is A.

I hope this helps!