(Copper) Review - Linear Equations

Slope-Intercept Form

100

What is the Slope-Intercept Form equation?

y = mx + b

200

What variable represents slope and what variable represents the y-intercept.

m = slope

b = y-intercept

300

Name three ways to find slope.

rate of change (rise over run)

slope equation: m = y2 - y1 / x2 - x1 

from the equation: y = mx + b

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

100

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

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

200

When graphing linear equations, where do we begin?

We begin at the y-intercept.

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

Graphing

100

Write an equation for a line with the following slope and points.

 m = 2/3   and (0, -2),  (3, 0)

y = 2/3x - 2

200

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

0

300

Rewrite this equation in slope-intercept form and graph. x + y = -6

y = -x - 6

400

Rewrite the following equation in slope-intercept form and graph. 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

Graphing

100

What does the equation of a line with zero slope look like? Graph. 

y = ____ 

or 

y = b

200

Write an equation for a vertical line through the point (-3, 3)

x = -3

300

What does the equation of a line with an undefined slope look like? Graph.

x = _____

400

Write an equation for a line with the following two points. Find the slope and y intercept. (15, -10) (5, 10)

slope = -2 y intercept = 20

y = -2x + 20

500

The amount y(in dollars) of money you have left after playing x games at a carnival is y = -0.75x + 10. How much money do you have after playing eight games? Graph the equation and show your explanation.

y = -0.75(8) + 10 y = -6 + 10 y = 4 $4 dollars left after playing 8 games. Graph should begin at (0, 10) on the y-axis and move down three and four to the right.

RANDOM ?'s

100

y − 2 = 3(x − 3) 

Convert to Slope-Intercept form and graph the line

y = 3x - 7

200

What is Ms.Figures' dream vacation city? (4 possible answers).

Seoul, South Korea

Tokyo, Japan

Seville, Spain

Mexico City, Mexico

300

What was Ms.Figures' favorite subject in school?

Science/chemistry

400

What is Ms.Figures' favorite thing to research or read about?

Astrology

500

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

No it is not a solution.