linear equations facts
Equations
formula/definition
Calculating Slope
Y-Intercept
100

The formula m = (y2-y1) / (x2 - x1) can be used for a proportional and nonproportional relationships.

yes

100

What is the equation of a line when m = -3 and b = 5?

 y = -3x+5

100

What is linear equation?

y = mx + b

100

What is the slope of this equation?

y= 3x + 5

m  = 3

100

What is b in the equation y=150x + 40 

b = 40

200

what makes the slope negative?

A slope is a negative when the graph is going 'down' / when the rise is negative

200

Bob has $150 in his savings account and saves $40 per month.

y=40x + 150

200

What is a Y intercept?

The y-intercept is the point where the graph intersects the y-axis.

200

find the slope

m = 4

200

What is the y intercept 

b = 0

300

what is the first step when you want to graph?

plot the y- intercept

300

Stephanie owes her mom $80 for a recent trip to the mall. She plans to payback $15 a month until it is paid back. Write an equation in slope-intercept form that relates the amount she owes, y, to the amount of months, x.

y = 15x + 80

300

What is the slope of a proportional line?

m = k = y/x


300

Find the slope

m=5/2

300

What is b? 

b = 3

400

What is the slope and intercept y = 5x 

m = 5    b = 0

400

Jackson started with $800 in his savings account, but has to pay $30 a month for his electricity bill. Write an equation that relates his savings, y, to the amount of months, x.


y = -30x + 800

400

What is Slope?

Slope is a value that describes the steepness and direction of a line.


400

What is the line going through (0,5) and (4, -3) ?


m= - 8/4 = -2

400

What is b?

b = -1


500

What is the slope and intercept y = -9

m = 0     b = -9

500

Tickets to a baseball game cost $22 each and parking cost $10. What is the equation of the line that represents the cost of attending the game?

y = 22x + 10

500

what is the slope's formula?

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

500

What is the slope of this line?

(-5, 7) and (3, 4)

 m= (4-7)/(3--5) = -3/8

500

What is the y-intercept of the line?

(-4, 6) (0, 2)

y-intercept when x=0 therefore y-intercept is 2

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