Calculating Slope
Calculate the slope between (0,0) and (-2,-8). SIMPLIFY.
Slope = 4
What is the y-intercept in the equation y = 3x + 2? Write it as an ordered pair.
(0, 2)
Write the equation for a line with m = 2 and b = -4
y = 2x -4
Proportional relationships, like y = 3x and y = -2x, always pass through what point on the graph?
The origin, (0,0).
Put the following equation in slope intercept form:
4x + y = 12
y = -4x + 12
Calculate the slope between (0, 1) and (0, 3).
Slope = Undefined!
Write the equation through (0, 4) and m = -1/3
y = (-1/3)x + 4
What does the slope stand for? _______ over _________.
Rise over run.
What is the slope of the following equation?
y = 1/2x + 4
m = 1/2
Slope = 3
What is the slope in the equation y = x + 1?
Slope = 1
Write an equation for a line with m = -4/5 and through the point (0, -1).
y = (-4/5)x -1
When calculating slope, what happens if 0 is in the denominator?
The slope is undefined!
What is the y-intercept in the following equation?
y = 2/3x + 7
b = 7
Calculate the slope between (1, 4) and (6, 3).
Slope = -1/5
What is the y-intercept in the equation y = -9x? Write it as an ordered pair.
Write an equation with y-intercept -8 and slope = -6.
y = -6x -8
When calculating slope, what happens if 0 is in the numerator?
Slope is zero!
Put the following equation in slope intercept form:
-2x + y = 1
y = 2x + 1
Calculate the slope between (7, 2) and (7, -5).
Slope = undefined
Cookies and brownies are sold at a bake sale. Profits from cookies come from the equation y = 2x where x represents the number sold and y represents the total profit. Profits from brownies come from the equation y = 1.5x where x represents the number sold and y represents the total profit. Which item is cheaper?
Write an equation through (0, 5) and (2, 6). Hint: Calculate the slope.
X is always 0 in the y-intercept.
It takes the form (0, #).
Put the following equation in slope intercept form:
2x + 3y = 12
y = - 2/3x + 4