Alg 1A Unit 6 Review

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

Identify the slope of the following equation:
y - 5 = -6 (x + 9)

-6

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

What is one way you can graph an equation in Slope-Intercept Form?

Plot the y-intercept and then count slope if Slope-Intercept Form
Make a table of values and plot the points

200

How do you graph an equation in Standard Form?

Find the x- and y-intercept and plot

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 two points. 2x + y = 10

Graph should begin with a point on the y-axis at 10 and x-axis at 5.

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

Equations of a Line Forms

100

What is slope intercept form?

y = mx + b

200

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

4

300

What is the Standard Form of a Line?

Ax + By = C

400

What is Point-Slope Form of a Line?

y - y₁ = m (x - x₁)

500

Rewrite the following equation in Standard Form:
y = 8x - 15

-8x + y = -15

Which Form? + Random

100

y = 9x - 8

Slope-Intercept

200

3x - 2y = -14

Standard Form

300

y - 5 = 2/3(x - 7)

Point-Slope Form

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.

Writing Equations

100

Write the equation in Slope-Intercept Form for a line with a slope of 6/7 and a y-intercept of -8.

y = 6/7x - 8

200

Write an equation for a line in Slope-Intercept Form whose y-intercept is 4 and goes through the points (5, 5) and (10, 6)

y=1/5x +4

300

Convert this to Standard Form:

y = -4x + 10

4x + y = 10

400

Write the equation of the line that passes through the points (0, 5) and (4, 17) in Point-Slope Form.

y -17 = 3(x - 4)

y - 5 = 3(x -0)

500

Convert this to Standard Form:

y=1/2x - 3 

x + 2y = 6