Slope
Slope-Intercept Form
Word Problems
Intercepts
100
What kind of slopes do parallel lines have?
The same slope
100
What is the equation for slope-intercept form?
y = mx + b
100
A stock is worth $21 and its value is increasing at a rate of $0.25 per week. Write an equation for the value y (in dollars) of the stock after x weeks.
y = 1/4x + 21
100
Why should x and y intercepts be written as a coordinate?
Because they are points!
200
What is the equation to calculate slope?
y2 -y1/x2- x1
200
What two pieces of information does slope-intercept form tell you?
The slope and the y-intercept
200
Which is steeper; a slope of 2/3 or a slope of -2/3?
They are the same steepness!
200
What is the x-intercept of the equation 2x + 4y = 8
(4, 0)
300
A line has the equation y = -2x + 8. What would be the slope of a line perpendicular to it?
1/2
300
Rewrite 3x + y = 8 into slope-intercept form
y = -3x + 8
300
Chris borrowed $50 from her brother and pays him back $5 a week. What does the $5 represent?
The slope or rate or change
300
What is the y-intercept of the equation -3x + 5y = -30
What is (0, -6)
400
What is the slope of the equation 4x + 5y = 60?
-4/5
400
Rewrite into slope-intercept form: -6x + 3y = 12
y = 2x + 4
400
A line passes through the point (1, 3) and has a slope of 2. Would the point (3, 5) also be on the line?
No
400
A car is speeding on the highway and then slows down to get pulled over by the police. If x represented time and y represented the cars speed, what would the y intercept mean?
The starting speed of the car
500
What is the slope of the points (-2, 8); (4, 10)?
1/3
500
Given the points (-3, 1) and (3, -1) write an equation of the line in slope-intercept form
y = -1/3x
500
Billy tells his group that the slope of a line perpendicular to the equation y - 2/3x + 8 would be -3/2. Is Billy right? If not, what is the correct answer?
Billy is wrong. It would be 3/2
500
What is the x-intercept of the line y = 2
There isn't one- it's a horizontal line that will never cross the x-axis