Functions
Features
Slope-Int Form
Word Problems
100
What is the "general" form of a linear equation?
Standard Form: Ax + By = C
100
What type of slope is this?
negative
100
What is the slope-intercept form of a linear function?
y = mx + b
100
Jane saves $20 a week. Write a linear function to represent the total she saves after x weeks.
y = 20x
200
What does the y-intercept of the graph represent?
Initial value
200
What is the slope?
-2
200
Determine the slope and y-intercept of the line represented by the equation: y = -3/4x +2
Slope: -3/4....... x is not include
y-int: 2
200
A phone company charges a flat fee of $20 plus $0.05 per minute. Write a linear function to represent the total cost in terms of minutes used.
y = 0.05x + 20
300
Determine if the two functions are parallel, perpendicular, or neither. Explain why.
y = 3x - 2 y = - 2x + 5
Neither. Parallel would be same slopes, perpendicular would be opposite & reciprocal slopes.
300
What is the slope?
- 3x - 5y ≥ 10
slope: - 3/5
because the slope-intercept form is y ≤ - 3/5x - 2
300
Convert 2y - 4x = 8 into slope-intercept form.
y = 2x + 4
300
The total cost of renting a bike is $15 plus $5 per hour. Write a linear function to represent the cost in terms of number of hours.
y = 5x + 15
400
Given the two points, (1,3) & (5,7), Find the slope of a line passing through them.
slope = 1
400
Where are the solutions?
In green (overlapped area)
400
Given the equation 2y - 6x + 12, rewrite it in slope - intercept form.
y = 3x + 4
400
The temperature decreases 2° per hour. Write a linear function to represent the temperature after x hours if it was initially 70°.
y = -2x + 70
500
Find the x-intercept:
7 = 4x - 8
(2,0)
500
What is the distance from the y-intercept to the x-intercept?
3√5
500
Convert from slope-intercept form to standard form:
y = 3x + 4
3x - y = - 4
500
A phone company charges $20 a month plus $0.03 per minute. Write an equation to represent the total monthly cost in terms of minutes used. Then determine the monthly cost if 55 minutes were used.
f(x) = 0.03x + 20
f(55) = 21.65