Finding Slope of a Line
How do you find the slope of a line given 2 points?
m = y2-y1 / x2-x1
What form would you use to graph a linear equation if given the slope and y-intercept?
the slope-intercept form: y = mx + b
y - y1 = m (x - x1)
What is standard form?
Ax + By = C
What form would you use to graph the equation if given any point and the slope
Point-slope form
Identify the point and slope from the following equation: y - 3 = 8(x + 9)
point: ( -9, 3)
m = 8
Given the x-intercept (-4, 0) and the y-intercept (0, 6), graph the function. What type of slope does the function have?
Plot those two points and connect. Positive slope/increasing line
Identify the slope of the following equation:
y - 4 = -6 (x + 7)
m = -6
Graph the following equation. Include at least 2 points that are labeled.
y = 1/3x + 4
In the following linear equation, what is the slope?
y = 1/4x - 12
m = 1/4
What is the slope of this equation?
x = 5
Undefined Slope
Find the y-intercept of the following equation:
4x - 6y = 108
(0, -18)
Find the slope of the line given two points: (4, -5) and (7,10)
m = 5
Solve and graph the following equation: 4y = -8
Also state what type of line this is.
y = -2
(x, -2)
Horizontal line
Write the equation in slope intercept form given 2 points (0, -3) and (10, -8)
y = -1/2x - 3
Graph the following equation:
y - 4 = -3/4 (x+2)
point (-2, 4) and (2, 1) or (-4, 5)
Find the x- intercept of the equation 3x + 2y = 42
(14, 0)
Find the slope of the line given two points: (-12, -9) and (-3, -3)
m = 6/9 = 2/3
Given the point (3, -5) and a slope of 2, graph the following equation.
y = - x + 4
Does the point (3, 7) fall on the line y-5 = 3 (x-2)?
No! 2 does not = 3
A farmer sells apples for $4/lb and corn for $3/lb. If I go to the farm with $60 to spend, what are 2 combinations of apples and corn can I buy? Use x= lbs of apples and y=lbs of corn.
HINT* write an equation!
4x + 3y = 60
x= 15 I can buy 15 apples and 0 ears of corn
y = 20 I can buy 0 apples and 20 ears of corn