Linear

1

100

What is the slope of y=3x+5

 3

200

When 2 lines are parallel

m1=m2

b1 is not equal to b2

300

Finding Equations of Lines

Given the Slope and y-intercept

Substitute the slope and y-intercept variables into the equation y = mx + b

2

100

What is the equation  of a line  with a slope of 3 and and y-intercept of 6

y=3x+6

200

When 2 lines are perpendicular

m1=-1/m2

300

 Finding Equations of Lines

(Given a Graph)

 

• Find the y-intercept.  Find the closest coordinate point.  

• Calculate the slope using m=( y2-y1)/(x2-x1)

3

100

How can we find the slope from the table of values

Find the first differences 

200

Drawing a line with y-intercept and slope

Find slope, then use rise /run to find the next point

300

Given slope and one point

• Substitute all values into  and solve to get b.

• Rewrite the equation using values for m and b only.  y = mx + b

4

100

How can we find the slope from a graph

Find two points  on the graph and put in the slope formula  

200

The slope of the line that passes through (1, 5) and (3, 11)

slope=y2-y1/(x2-x1) 

m=3

300

Finding equation 

Given 2 points on a line (x1,y1)  and (x2,y2)

• Plot the two coordinates on the graph.

• Draw a line between the two points and across the y-axis
  (if it does not already cross).  Note the y-intercept.

• Calculate the slope between the two points using 

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

5

100

slope of x=5

Undefined

200

The slope of y=3

Zero

300

Given two points on a line (x1, y1) and (x2, y2), without graphing

• Calculate slope using .

• Calculate y-intercept using the slope and one of the points given.  y=mx+b

• Substitute all values into and solve to get b. y=mx+b

Rewrite the equation using values for m and b only