Identifying Linear Functions
Using Intercepts
Slope
Slope intercept form
Point Slope form &Slopes of lines
100
What is a function whose graph forms a straight line called?
linear function
100
What is the x-coordinate of the point where the graph intersects the x axis called?
What is the x intercept
100
What is the slope of a horizontal line?
Zero
100
Write the equation in slope intercept form:
slope=0, y intercept =-5
y=-5
100
Write the linear equation in point slope form:
Slope=-7 ; (4,2)
y-2 = -7(x -4)
200
Write the formula for slope - intercept form. State what each variable stands for.
What is y = mx+b
m = slope
b = y-intercept
(x, y) = point
200
Find the x intercept and y intercept: 2x- 4y=-84
x=-42
y=21
200
What is the slope of a vertical line?
Undefined
200
Write the equation in slope intercept form:
slope=4 and (2,5) is on the line
y=4x-3
200
State the slope and the x and y intercept of the graph:
What is m = 1/2
x int: (5, 0)
y - int: (0, -3)
300
Write the point slope formula for a function
What is
y - y1=m(x-x1)
300
Find the x and y intercepts of 3x- 2y=12.
State them as ordered pairs
x-intercept: (4, 0)
y-intercept: (0, -6)
300
Find the slope of (4,-2) and(-1,2)
What is -4/5
300
Graph the equation: y= 4x-3
What is see graph
300
Write this equation in point slope form & in slope intercept form: slope=-4, (-1,-2)
Point slope form: y+2= -4(x+1)
Slope intercept: y=-4x -6
400
What is the standard form of a linear equation?
Ax+By=C
400
Find the x and y intercepts of the function 2x - 4y=8. Then graph it.
What is x=4 and y=-2, see graph.
400
Determine the rate of change from the table below. Fully simplify and include unit labels.
Minutes Passed: 3 5 7
Words Typed: 82 202 322
What is 60 words typed per minute.
400
Graph the equation y = -3x+1
What is see graph
400
Write the equation in point slope form: (-2,6) and (-4,5)
What is:
y-6 = 1/2(x+2)
or
y-5 = 1/2(x+4)
500
Draw an example of a horizontal and vertical line on a coordinate plane. Label which one is which.
What is check answer
500
Daily Double!!
Sally decides to create a business of selling tie-dye t-shirts. The cost for supplies is $216. She is able to charge $12 per t-shirt ordered.
State the variables:
Write an equation to represent this situation:
Find and interpret the x- intercept in context:
What is
x variable = Number of t-shirts ordered
y - variable = Total profit of the business
y=12x-216
x - intercept (18, 0)
Sally will need to sell 18 t-shirts before her business starts turning a profit. 18 shirts must be sold to get out of debt and break even.
500
Find the slope of the equation:
6x + 5y=30
What is 6/5
500
Write the equation in slope intercept form and graph:
m = -1/4
b = 2
y=-1/4x +2 See graph
500
Write the equation in point slope form and in slope intercept form: (1,-4) and (3,2)
Point slope: y-2=3 (x-3) or y+4=3(x-1)
slope intercept: y=3x -7