Question

On a coordinate plane, a line goes through points (negative 3, 0) and (0, 3). Which points are located on this graph? Check all that apply. (1,1) (2,4) (–3, 0) (0, 3) (3, 5) (1,4)

Answer 1

C,D,F

Explanation:

Answer 2

• (–3, 0), (0, 3), (1,4) yes

Explanation:

Find the equation of the line:

• y = mx + b

We have b = 3 from the second point.

Find the slope using the points (-3, 0):

• 0 = (-3)*m + 3
• 3m = 3
• m = 1

The line is:

• y = x + 3

Now verify the points to fit this equation:

• (1,1), (2,4), (3, 5) no
• (–3, 0), (0, 3), (1,4) yes