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.

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.

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation: