Linear Equations

Linear Equations Review

Objective: To recall graphing linear equations

Why? Our next unit will be systems of equation and we will be graphing two lines to get the solution.

Slope Review

Match

Match the Graph with its slope.

Negative

Positive

Zero

Undefined

• Negative

• Positive

• Zero

• Undefined

Multiple Choice

Find the slope of the line below using rise/run.

• $$\frac{2}{3}$$

• $$\frac{3}{2}$$

• 3

• $$\frac{1}{3}$$

Multiple Choice

Find the slope

• -5/3
• -3/5
• 5/3
• 3/5

Slope-Intercept Form

m: slope (rate of change)

b: y-intercept

y: dependent value (output)


x: independent value (input)

Multiple Choice

What is the y-intercept in the equation y= -2x + 5

• -2
• 3
• 5
• Cannot be Determined

Multiple Choice

In the equation y=mx+b, what does the m represent?

• slope
• y-intercept
• linear
• point-slope

Multiple Choice

Determine the slope and y-intercept from the following equation:   y = 3/2x + 3

• slope: 5   y-intercept:  (0,3) 
• slope: 3/2   y-intercept:  (0,3) 
• slope:  4  y-intercept:  (0,3/2)
• slope: 1/5   y-intercept:  (0,5) 

Multiple Choice

What does 'b" represent in y=mx+b

• y-intercept
• macaroni
• nothing
• slope

Multiple Choice

If m=3 and b=6, what is the correct slope intercept equation?

• y=3-6
• y=3x-6
• y=3x+6
• y=6x+3

Drag and Drop

The y intercept is ​

Placeholder

​ ​and the slope is

Placeholder

Drag these tiles and drop them in the correct blank above

(-3,0)

(4,0)

(0,4)

(0,-3)

3/4

Multiple Select

Given:  $$y=-\frac{1}{3}x+5$$ , find the slope and y-intercept.

• Slope:  $$-\frac{1}{3}$$  

• y-intercept:  $$5$$  

• Slope:  $$5$$  

• y-intercept:  $$-\frac{1}{3}$$  

• Slope:  $$-\frac{1}{5}$$  

Graphing

Graph: $$y=-\frac{1}{2}x-2$$

Graphing

Graph: $$y=\frac{3}{2}x+3$$

Graphing

Graph: $$y=x-4$$

Match

Match the following equations to the type of equation

• Slope Formula- Used to find the slope given two points

• Standard Form- Graphing using intercepts or convert to slope intercept form

• Slope Intercept Form- Used to graph using the slope and y-intercept

• Point Slope Form- Used to get the equation of a line given the slope and one point

m = (y2 - y1) / (x2 - x1)

Ax + By = C

y=mx+b

y-y1=m(x-x1)

• m = (y2 - y1) / (x2 - x1)

• Ax + By = C

• y=mx+b

• y-y1=m(x-x1)

converting standard form to slope intercept form

Step 1: AX +By= C
-Ax -Ax
By= -Ax+C

Step 2: By=-Ax+C
B B

y= -A x + C
B B

Multiple Choice

what is the first step to solve for slope intercept form on

-x + 4y = 11

• subtract 11 from both sides

• add x to both sides

• subtract x from both sides

• put in th y=

Multiple Choice

which of the following is the best first step to solve for y = mx +b? equation is -2x - 4y = -12

• add 4y to both sides

• subtract 2x from both sides

• add 2x to both sides

• divide by -4

Multiple Choice

Put the equation in slope-intercept form:
5x - y = 16

• -y = 5x + 16
• y = 5x + 16
• x = 5y - 16
• y = 5x - 16

Multiple Choice

Determine the slope and y-intercept from the following equation:   4x + y = -10

• slope: 4   y-intercept:  (0,10)
• slope: -4   y-intercept:  (0,-10)
• slope: -4   y-intercept:  (0,10)
• slope: 4   y-intercept:  (0,-10)