Real-World
Graph the equation:
y = (3/2)x + 3
m = rise/run = 3/2
b = 3
Find the slope of the following equation.
3y - 6 = 2x
3y - 6 = 2x (add 6 to both sides)
3y = 2x + 6 (divide by 3 on both sides)
y = (2/3)x + 2
m = 2/3
Find the equation of the graph.
m = rise/run = $3 / 2 tickets = 3/2
b = 0
y = (3/2)x
Write the equation of a line given the following point and the slope.
Slope = -5 and (0,7)
m = -5
b = 7
y = -5x + 7
The slope of the graph is 1/4.
What does the slope mean in the context of the problem?
slope = rise/run = 1 gram of protein / 4 grams of PB
There is 1 gram of protein for every 4 grams of PB
Graph the equation:
y = 5
m = 0 (horizontal line)
b = 5
Find the slope of the table:
m = change in y / change in x = 3/1 = 3
Find the equation of the table:
m = change in y / change in x = -2/1 = -2
b = 5
y = -2x + 5
Write the equation of a line given the following point and the slope.
Slope = -5 and (1,-2)
m = -5
y = mx + b
-2 = -5(1) + b
-2 = -5 + b (add 5 to both sides)
3 = b
y = -5x + 3
The slope of the graph is 50.
What does the slope mean in the context of the problem?
slope = rise/run = 50 kilometers / 1 hour
Something is traveling 50 kilometers per hour
Graph the equation:
y - 4 = -3x
y - 4 = -3x (add 4 to both sides)
y = -3x + 4
m = rise/run = -3/1
b = 4
Find the slope of the graph:
m = rise/run = -4/5
Find the equation of the table:
m = change in y / change in x = -19/1 = -19
b = 2
y = -19x + 2
Write the equation of a line given the following point and the slope.
Slope = -5 and (4,-6)
m = -5
y = mx + b
-6 = -5(4) + b
-6 = -20 + b (add 20 to both sides)
14 = b
y = -5x + 14
Find the slope of the following graph.
What does the slope mean in the context of the problem?
slope = rise/run = -40 miles from Josh's home / 1 hour
Josh is traveling 40 miles per hour back home.