Slope Seekers
What is the slope of the line y= 5x + 2 ?
5
Identify the y-intercept in the equation y = 2x - 3.
-3
Write an equation with a slope of 4 and a y-intercept of -1.
y = 4x - 1
A taxi charges a flat fee of $5 plus $2 per mile. What is the slope in this scenario?
$2 per mile
What is the rate of change, unit rate, vertical and horizontal change, rise and run referring to?
Slope
Find the slope of a line passing through (0,0) and (4,8).
2
At what point does the graph of y = -4x + 7 cross the y-axis?
(0,7)
Write an equation for a line that passes through (0,4) and has a slope of -2.
y = -2x + 4
A candle is 12 inches tall and burns at a rate of 0.5 inches per hour. What is the y-intercept?
12 inches tall
The value when x = 0, the starting place where the line crosses the y - axis
y - intercept
In the slope formula, what does the rise represent?
y values or vertical change
If a line has a slope of 3 and passes through (0,-5), what is b?
-5
Write an equation for a line with a slope of -5 that passes through the origin.
y = -5x
A hiker at 4,500 feet descends at 300 feet per hour. Is the slope positive or negative?
negative
How can you tell if a slope is positive or negative just by looking at a line?
A positive slope increases and points up, a negative slope descreases and points down
In the slope formula, what does the run represent?
x values or horizontal change
Find the y-intercept of a line with a slope of 2 and a point of (0,8).
8
Write an equation with a slope of -5 and a y intercept of -10.
y = -5x - 10
If a gym costs $30 to join and $10 per month, what is the equation in y=mx+b form?
y = 10x + 30
In the equation y = mx + b, which letter represents the 'rate of change' and which represents the 'initial value'?
rate of change = m
initial value = b
How do I know if the slope of a line is constant?
The ratio of all triangles is the same
In a real-world context, what does the y-intercept usually represent?
the initial value
If an equation in y=mx + b does not have a value for b, where does the line begin?
The origin or (0,0)
A phone battery starts at 100% and drops to 80% in 2 hours. What is the rate of change (slope)?
-10% per hour
What is the 'constant rate of change' and how does it relate to the slope of a line?
A constant rate of change means the line increases or decreases the same amount each time. If you draw triangles, each triangle would have the same rise and run to show it is constant.