Linear Functions Test Reveiw

Linear Functions Test Reveiw

Progressive with Solving Equations

Slope from a table

• Remember slope is the same as rate of change

• Look for how the y-values are changing and how the x-values are changing.

• Slope is always written as

   $\frac{the\ change\ in\ y}{the\ change\ in\ x}$  

Multiple Choice

Determine the slope. 

• -2
• 2
• -1/2
• 1/2

Multiple Choice

Determine the slope. 

• -5/3
• 5/3
• 3/5
• -3/5

Slope from a Graph

• The change in y-values is shown vertically on the graph (RISE).

• The change in x-values is shown horizontally on the graph (RUN).

• Like before, write the slope as

   $\frac{change\ in\ y\ \left(RISE\right)}{change\ in\ x\ \left(RUN\right)}$  

Multiple Choice

Find the slope

• -5/3
• -3/5
• 5/3
• 3/5

Multiple Choice

Find the slope:

• 3/4
• 4/3
• -3/4
• -4/3

Slope from 2 Points

• To find the change in y and change in x you can subtract.

• The formula for slope is

   $m=\frac{y_2-y_1}{x_2-x_1}$  

Multiple Choice

Find the slope of the line that passes through:
(6,7) and (4,2)

• 2/5
• -5/2
• 5/2
• -1/2

Multiple Choice

Find the slope of the line that passes through:
(-4, 7) and (-6, -4)

• 2/11
• 13/2
• 3/10
• 11/2

Slope Intercept Form

•  $y=mx+b$  

• m is the slope (rise/run)

• b is the y-intercept (look on y-axis)

Slope Intercept Form

•  $y=mx+b$  

• m is the slope, use the formula if needed.

• b is the y-intercept, written as (0,b)

Multiple Choice

What is the equation of the line that passes through (-2, 3) and has a slope of 4?

• y = -2x + 3

• y = 4x - 2

• y = 4x + 3

• y = 4x + 11

Multiple Choice

What is the equation of a line with a slope of 2 and a y-intercept of -5?

• y = 5x - 2

• y = 2x - 5

• y = -2x - 5

• y = 2x + 5

Multiple Choice

Write the equation of the line.

• y = -1/3x - 2
• y = 1/3x - 2
• y = 3x - 2
• y = -3x - 2

Multiple Choice

What is the equation of this line?

• y = 2x +2
• y = 2x -2
• y = -x + 2
• Cannot be Determined

Multiple Choice

What equation does the table represent?

• y=x+1
• y=x-1
• y=2x+1
• y=2x-1

Point-Slope Form

• Write the equation with a slope of -4 and the point (2, -3).

•  $y\ -\ -\ 3=-4\left(x-2\right)$  

• Simplify to  $y+3=-4\left(x-2\right)$  

• If you want to convert to slope intercept form, distribute then solve for y.

•  $y+3=-4x+8$  then subtract 3 from both sides

•  $y=-4x+5$  

Multiple Choice

Level 1: For the equation

y - 3 = 2(x + 4),

the line has a slope of 2 and contains what point?

• (-4, 3)

• (3, -4)

• (-3, -4)

• (-4, -3)

Multiple Choice

Write the equation in point-slope form

for the line that contains the points

(3, -5) and (5, - 1)

• y - 5 = 2(x + 3)

• y + 5 = 2(x - 3)

• y - 3 = 2(x + 5)

• y + 3 = 2(x - 5)

Multiple Choice

Write the equation in point-slope form

of the line that passes through the point

(4, -7) and has a slope of -1/4.

• y + 7 = -1/4(x - 4)

• y - 4 = -1/4(x + 7)

• y + 7 = 4(x - 4)

• y - 7 = -1/4(x - 4)

Multiple Choice

Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)

• y - 3 = 1(x - 2)
• y + 3 = 1(x + 2)
• y -3 = -1(x + 2)
• y + 3 = -1(x - 2)

Standard Form

• Ax + By = C

• Subtract the x-term

• divide by the coefficient f y

Multiple Choice

What is the slope of

-6x-2y=9?

• 9/2

• 9

• -3

• -6

Multiple Choice

Write the slope intercept form of the equation x - 3y = 6

• y = -x - 2

• y = x + 2

• y = 1/3x - 2

• y = -1/3x + 2