Ordered pairs and coordinates
What ordered pair represents the point 3 units right and 4 units up from the origin?
(3, 4)
Given y = 2x + 1, what is y when x = 0?
y = 1
In the equation y = 5x + 3, what is the slope?
m = 5
A line has slope 3 and y-intercept 2. Write the equation.
y = 3x + 2
What does Mr. Laverde coach?
Cheerleading
Point A is located at (-2, 5). In which quadrant is it located?
Quadrant II
If you create a table for y = x - 3 using x-values 0, 1, 2, what are the three y-values?
-3, -2, -1
In the equation y = -2x + 7, what is the y-intercept?
b = 7 (or the point (0, 7))
What is the slope-intercept form of a linear equation?
y = mx + b
Other than algebra, what does Mr. Laverde teach?
Biology, Practical finance
If a point is on the y-axis, what is always true about its x-coordinate?
The x-coordinate is always 0
When graphing an equation, after creating a table of ordered pairs, what's the next step?
Plot the ordered pairs on a coordinate plane
A line passes through (0, 4) and (2, 8). What is the slope?
m = 2
A line passes through points (0, 5) and (2, 9). Write the equation.
y = 2x + 5
How many years has Mr. Laverde been teaching?
This is his third year.
Three points are plotted: (1, 2), (3, 2), and (5, 2). If you connect them, what type of line do they form?
A horizontal line (slope = 0)
For the equation y = -2x + 4, if x = 3, what is y?
y = -2
If a line goes DOWN from left to right, is the slope positive or negative?
Negative
A taxi charges $3 base fare plus $2 per mile. Write an equation where x = miles and y = total cost.
y = 2x + 3
What is Mr. Laverde's favorite winter activity?
Snowboarding
A point is 4 units to the left of the origin and 3 units down. What is the ordered pair?
(-4, -3)
If all the points from a table of values form a straight line when graphed, what does this tell you about the equation?
It's a linear equation
A graph shows a pool draining from 100 gallons at time 0 to 60 gallons at time 4 hours. What is the slope and what does it represent?
m = -10; the pool loses 10 gallons per hour
A line passes through (1, 4) and (3, 10). Find the slope, then write the equation in y = mx + b form.
m = 3, then using point: 4 = 3(1) + b, so b = 1. Equation: y = 3x + 1
What is Mr. Laverde's ethnicity?
Colombian, Puerto Rican