Linear Relationships Review

Finding Slope

100

Find the slope: 2x - 3y = 7

2/3

200

What symbol represents slope

 m

300

What is the formula for finding slope

y2-y1/x2-x1

400

Determine the slope

(-2,1) and (4,-3)

What is -2/3?

500

Determine Slope 

(0,1.31) and (4,2.38)

m = -0.268

Slope-Intercept

100

When asked to write an equation in slope-intercept form, the formula would look like....

What is y=mx+b?

200

Convert to slope intercept form 5x+10y=20

 What is  y=-1/2x+2 

300

Convert to slope intercept form 6x-3y=14

What is  y=2x-14/3 

400

Write the equation in slope intercept form for the line that goes through (5,1) and is parallel to y-13=-3(x+2)

What is  y=-3x+16

500

Find the equation of the line in slope intercept form that goes through (-2, 2) and is perpendicular to the line x - 2y = 4.

y=-2x-2

Point-Slope

100

When asked to write an equation in point-slope form, the formula looks like.....

What is y-y1=m(x-x1)?

200

Write the equation in point slope for a line with the following characteristics: 

m=-1/2 and the point (0,-2)

What is y+2=-1/2(x+0)?

300

Write two equations for a line in point slope form given the points (-3,4) and (5,1) 

y-4 = -3/8(x+3)

y-1 = -3/8(x-5)

400

Convert 2x + 3y = 27 into point slope form, given the line goes through (3,7). 

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

500

Write two equations in point slope form for the line that goes through the points: (-2, -2) and (3,4)

y+2=6/5(x+2) 

or 

y-4=6/5(x-3)?

Standard Form

100

Formula

What is  Ax+By=C 

A and B are integers, A is positive. The only common factor between A, B and C is 1

200

Write in Standard Form. 

4y= -12x + 24

3x + y = 6

300

Write in standard form. 

10y-3x+6=0

What is  3x-10y= 6 

400

Write in standard form: y =-5/3x+5

What is 

5x+3y=15

500

Write in standard form: 1/5x+1/2y=4

What is 2x + 5y = 40

Word Problems and 2 Intercepts Form

100

You are visiting Baltimore, MD and a taxi company charges a flat fee of $3.00 for using the taxi service and 0.75 per mile. What value represents the y intercept?

(0, 3)

200

What are the x and y intercepts for the equation x/5 + y/3 = 1? Write as coordinate points.

(5,0) and (0,3)

300

Write in 2-INTERCEPTS form: y-2 = (x+1)

x/-3-y/3=1

400

A caterer charges $150 to cater a party for 15 people and $225 for 25 people. Assume that the cost, y, is a linear function of the number of people, x. What equation represents this relationship in slope intercept form?

y = 7.5x + 37.5

500

Write in 2-INTERCEPTS form: y = 2/3x -7

x/10.5 + y/-7 = 1