Review - Linear Equations

Finding Slope of a Line

100

Identify the slope of the following equation. y = mx + b

the variable m

200

Identify the slope of the following equation. y = 2x + 3

slope is 2

300

What would the slope be in this equation?

y=-5x

-5/1

400

Find the slope of the line that includes the following points. (4, -5) (-4, 5)

-10/8 which simplifies to -5/4

500

Find the slope of the line that includes the following points. (-12, -9) (-3, -3)

-6/-9 = 6/9 = 2/3

Graphing Linear Equations

100

Graph

y=-5x

See board

200

When graphing linear equations, where do we begin?

For example:

y=x-3

We begin at the y-intercept, which is -3

300

Graph the following equation. Include at least 3 points. y = 1/3x + 4

Graph should start with the point at (0, 4) Movement should be 1 up and 3 to the right continuing to another point. Movement could also be 1 down and 3 to the left.

400

Graph the following equation. Include at least three points. y = -2

Graph should begin with a point on the y-axis at -2. A horizontal line should be drawn through -2 extending on both sides of the y-axis.

500

Make a table of values with at least 4 ordered pairs for the following equation. y = 1/2x -5 Then plot the ordered pairs. Draw a line through the points.

Table should list four numbers chosen for x and then solved by multiplying by 1/2 and subtracting 5. If x is 2 then If x is 4 then 1/2(2) = 1 - 5 1/2(4) = 2 - 5 then y = -4 then y = -3

Slope-Intercept Form

100

What is slope intercept form?

y = mx + b

200

In the following linear equation, what is the y-intercept? y = -3/4x

0

300

Rewrite this equation in slope-intercept form. x + y = -12

y = -x - 12

400

Rewrite the following equation in slope-intercept form. 3x + 6y = -18

y = -1/2x - 3

500

Rewrite the following equation in slope-intercept form. 3.5x - 7y = -21

-7y = -3.5x + 21 y = 0.5x - 3 or y = 1/2x - 3

RANDOM ?'s

100

Evaluate:

-2 - 5

-7

200

Solve:

3x - 2 = -14

x = -4

300

What is the slope of this equation?

 x = 5

Undefined Slope

400

Graph the following equation. 8x + 4y = 16

Should be rewritten as y = -2x + 4 and then graphed.

500

Is x = 2 a solution to the equation 2(x - 5) + 3 = 13  ?

No it is not a solution.

Identifying Lines

100

What is the equation for finding the slope of a line?

y2-y1     = m

x2-x1

200

Are these lines perpendicular?

Slope 1 = -2/7

Slope 2 = 7/2

Yes, because when multiplied, it = -1, and perpendicular lines = -1

300

Are these lines parallel? How do you know?

Slope 1 = -4/-1

Slope 2 = -4/-1

Yes, because they both = 4, and parallel lines have the same slope

400

Is this line horizontal? Why or why not?

Slope = 0/7

Yes, because when there is a 0 as a numerator, it is a sign that the line is horizontal. 

500

Is this line vertical? Why or why not?

Slope = 4/0

Yes, because if there is a 0 as a denominator, then it means it is a vertical line. Also, vertical lines can be called undefined because because division by zero isn't possible.