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

2. -1.5, 0

3. -6, 9

5. 3, -9

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.