Question

Please help! A line has a slope of -2 and a y-intercept of -3. Graph the line using the slope and y-intercept. Which of the following points lie on this same line? Check all that apply.

Answer 1

Answer:

2. -1.5, 0

3. -6, 9

5. 3, -9

Step-by-step explanation:

Given parameters:

    Slope  = -2

    y - intercept  = -3

Unknown:

The point that lies on the line  = ?

Solution:

 To do the equation of the line,

        y  = mx + c

y and x are the coordinates

m is the slope

c is the y -intercept

Input the parameters:

            y= -2x -3

The points that lie on the line will conform with the equation:

          y + 2x  = -3

1. -2, 0

   y = 0 and x = -2

       0 + (-2)2 = -4

2. -1.5, 0

  y = 0 and x = -1.5

      0 + 2(-1.5) = -3

3. -6, 9

   y = 9, x  = -6

    9 + 2(-6) = 9 - 12 = -3

4. 2, -3

    y = -3 and x = 2

    -3 + 2(2) = -3 + 4 = 1

5. 3, -9

    y = -9, x  = 3

      -9 + 2(3) = -9 + 6 = -3

6. -4, 4

    y = 4 , x - 4

       4 + 2(-4) = 4 - 8 = -4

The boldened coordinates line on the same line.