Graphing Lines Questions:

1. Determine the slope of a line passing through the points (3,5) and (6,10).

A) 3/5

B) 5/10

C) 5/3

D) -5/3

2. What is the slope of the line with an equation: 4Y + 12X = -16?

A) 3

B) -3

C) -12

D) 12

3. Find the formula for a line passing through the points (2,8) and (-2, -4).

A) y = 3x + 2

B) y = x + 8

C) y = 3x - 4

D) y = 2x + 2

4. One side of a square begins at (0,5) and ends at (6,2). How long is the side?

A) 

B) 45

C)

D) 15

5. Find the slope of a line that is parallel to 3y - 4x = 22

A) 3/4

B) 4

C) -4

D) 4/3

6. Find the slope of the line that passes through the points (3, -1) and (-5, 3).

7. A line with a slope of 3 passes through (-1, -5) and (k, 4). Find k.

8. Find the equation of a line that is parallel to the line y = 3x + 6 and passes through the point (4,2).

Calculator Lesson for finding the equation of a straight line.

1)  On your TI-83+ calculator, click on the STAT button, then Enter so you can edit lists.

2)  Place the X coordinates into L1, and the Y coordinates into L2.

3)  Click on the STAT button again, and move to the calculate menu at the top of the screen.

4)  Click on LinReg(ax+b) Press enter.

5)  Press enter again, and you will see a screen that gives you:  y=ax+b  (in this case, a stands for slope)

     The value for a = slope

     The value for b is the Y intercept

By substituting these values into the equation y=mx+b, you will have the equation of the line that connects the two points you have provided coordinates for.

Graphing Lines Answer Key

1.  C) 5/3

2.  B)  -3

3.  A)  y = 3x + 2

4.  C) 

5.  D)  4/3

6.  -1/2

7.  2

8.  y = 3x - 10