Unit 4 Quiz 2 Review

And when you do, watch out for those built-in negatives.

​

Plug in to this formula

Plug in negatives with ( ) around them!

Sometimes you have double negatives

Simplify the fraction if needed​

​

Find the slope between (-4, 3) and (-1, -7)

Multiple Choice

• 1/-2

• 5/14

• 1/2

• -1/2

Multiple Choice

Find the slope of the line that goes through the points (−11,−5) and (1,−12)

1. Write (-11, -5) and (1, -12) on your paper.

2. Label them x1 y1 x2 y2

3. Put numbers in the right places in the formula

4. Simplify

• $$-\frac{5}{8}$$  

• $$\frac{16}{11}$$  

• $$\frac{1}{6}$$  

• $$-\frac{7}{12}$$  

Multiple Choice

Find the slope of the line that goes through the points

(−1,−2) and (−3,−4).

• 1

• 2

• 3

• 4

Multiple Choice

Find the slope given the points (2, −7) and (−1, 6). 

• -13/3
• 13/3
• 0
• 2/3

Slope Intercept Form

• m is the slope.

• b is the y-intercept.

Multiple Choice

Identify the slope of the equation

$$y=\frac{1}{2}x-4$$  

• -4

• 2

• 1/2

• 4

Multiple Choice

Identify the y-intercept of the equation

$$y=\frac{1}{2}x-4$$  

• -4

• 2

• 1/2

• 4

Fill in the Blank

What is the y - intercept of the graph?

Fill in the Blank

What is the slope of the graph?

-

/

Multiple Choice

What is the equation for the graph?

• $$y=1x-\frac{1}{3}$$

• $$y=\frac{-1}{3}x+1$$

Multiple Choice

What is the equation of a line when m = -7 and b = -8?

• y = -7x + 8

• y = -7x - 8

• y = 7x - 8

• y = 7x + 8

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

Standard Form to Slope Intercept Form

Multiple Choice

Which equation is in standard form?

• y = mx + b

• $$y-y_1=m\left(x-x_1\right)$$

• Ax + By = C

• $$m=\frac{y_2-y_1}{x_2-x_1}$$

To change from Standard Form to Slope Intercept Form, you solve the equation for y.

• First, add or subtract the "x" term.

• Second, divide by the coefficient (number in front of) y.

• Finally, simplify if you can.

Write 3x + 2y = 6 in slope intercept form

Multiple Choice

What is the first thing you would do to write 2x - y = 7 in slope intercept form?

• Add y to both sides

• Subtract 2x from both sides

• Divide both sides by 2

• Subtract 7 from both sides

You would subtract the 2x first

So, -y = -2x + 7 (Don't forget the negative in front of the y needs to come with it!)

Next, you would need to divide by the negative 1.

Multiple Choice

What is the resulting equation? (Remember you had -y = -2x + 7)

• y = 2x + 7

• y = -2x - 7

• y = 2x - 7

• y = 2x + 8

Multiple Choice

Which equation represents 4x - 2y = 6 in slope intercept form.

• y = 2x - 3

• y = -2x + 3

• 
  

  $$y\ =\ \frac{1}{2}x\ -\ 3$$

• y = 2x + 8

Multiple Choice

Write x + 5y = 10 in slope intercept form.

• $$y=-5x\ +\ 2$$

• $$y\ =\ -\frac{1}{5}x\ +\ 5$$

• $$y\ =\ 5x\ +\ 2$$

• $$y\ =\ -\frac{1}{5}x\ +\ 2$$

Point-Slope Equations need 2 things....

• A point

• A slope

Multiple Choice

Which of these is point-slope?

• $$y-y_1=m\left(x-x_1\right)$$

• $$y=mx+b$$

• $$Ax+By=C$$

We also learned how to transform Point-Slope equations into Slope Intercept form.

Multiple Choice

A line has a slope of -6 and passes through the point (-2,3). Write the equation for the line in Slope-Intercept form.

• y = -6x - 16

• y = -6x - 20

• y = -6x + 16

• y = -6x - 9

• y = -6x - 15

Multiple Choice

Write an equation  
m = 5 through (-1, -3)

• y = 5x + 2
• y = -5x - 5
• y = -5x + 2
• y = 2x - 5

Multiple Choice

Write the slope-intercept form of the equation with the given point and slope.

Through ( 1, 5 ) and m = 3

• y = 3x + 2

• y = 3x - 2

• y = 2x + 3

Write a linear equation using points:

Fill in the Blank

Write a linear equation using the points (2, -4) and (-1, 5). (type without any spaces)

Multiple Choice

What is the equation of the line that goes through the points (2, 9) and (3, 1) ?

• y= 8x - 5

• y= -8x + 25

• y= (1/8)x - 2

• y= (-1/8)x + 1

Multiple Choice

Find the equation of a line that passes through the points

(2, 16) and (-1, 7)

• y= 3x + 10

• y= -3x + 4

• y= 1/3x + 22/3

• y= -1/3x - 22/3

Multiple Choice

Write the slope intercept form of the equation through the given points:

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

• y = -4x + 6

• y = -2x + 8

• y = -x - 4

• y = -x - 6

Parallel and Perpendicular Lines

Parallel vs. Perpendicular

Multiple Choice

Parallel lines have the ______ slope.

• Different

• Same

• Negative

• Opposite Reciprocal

Multiple Choice

Perpendicular lines have the ______ slope.

• Different

• Same

• Negative

• Opposite Reciprocal

Multiple Choice

Perpendicular lines make a _____ angle.

• Corresponding

• Vertical

• Right

• Adjacent

Multiple Choice

What is the negative reciprocal of 2?

• -2

• $$-\frac{1}{2}$$

• $$\frac{1}{2}$$

• 4

Multiple Choice

What is the slope of a line perpendicular to a line with slope  $$\frac{3}{4}?$$  

• $$-\frac{4}{3}$$  

• $$\frac{4}{3}$$

• $$\frac{3}{4}$$

Multiple Choice

$$y=2x-4$$  

$$y=-2x+4$$  

• Parallel

• Perpendicular

• Neither

Multiple Choice

$$y=-\frac{2}{3}x+7$$  

$$2x+3y=4$$  

• Parallel

• Perpendicular

• Neither

Multiple Choice

Use slope to determine if lines AB and CD are parallel, perpendicular, or neither.

A(-2, 3), B(2, 6), C(-1, 0), D(3, 3)

• Parallel

• Perpendicular

• Neither

Multiple Choice

Use slope to determine if lines AB and CD are parallel, perpendicular, or neither.

A(0, 2), B(5, 4), C(1, 8), D(3, 3)

• Parallel

• Perpendicular

• Neither

Fill in the Blank

Write an equation of the line parallel to   $$y=-3x-5$$   and passes through (-2,4).

$$y-y_1=m\left(x-x_1\right)$$  

=

-

-

Multiple Choice

Write an equation of the line PARALLEL to the graph y=-6x+3 and goes through the point (-1,4)?

• y=-6x+4

• y=-6x-2

• y=6x-4

• y=1/6x+4

Fill in the Blank

Write an equation of the line perpendicular to   $$y=-3x-5$$   and passes through (6,-4).

$$y-y_1=m\left(x-x_1\right)$$  

=

/

-

Multiple Choice

Which of the following represents the equation of a the line passing through (-4,5) and perpendicular to the line y=-1/2x+5 ?

• y=-1/2x+3

• y=2x+13

• y=2x+5

• y=2x-6

• y=2x-8