Linear functions
How do you write a linear function?
y=mx+b
What is the slope-intercept of a linear equation?
y= mx + b
Solve: 2x + 2 = 18
x = 8
Solve the equation:
|x|-6=4
x=10 or x=-10
Find the slope: 2(3x - y) = -10
3
What is the coordinate for y=-6?
(0,-6)
Write the following equation in slope-intercept form: 5(x + 2y) = 20
y = -1/2x + 2
Solve: 3x + 4 = 7
x = 1
Solve the equation
4|x-5|=12
x=8 or x=2
What is the slope of the following equation: 2x + 2y=8
slope = -1
What is a linear functions?
function that represents a straight line
solve (3x-5)/4 = 5
x = 25/3
Solve: 3x + 3 - 2x = 21
x = 18
Solve 4|x+3|-7=5
x = 0 or x = -6
Solve: (3 - 3x)/7 = 6
x = -13
A linear function has one ______ and one ______ variable what's the missing words?
independent and dependent
solve:-4(3x - 2) -2(4 + 3x)
-18x
Solve: 4x - 5 - 3x + 2 - 2x = 9
x = -12
solve -3|x-1|+5=8
No solution
Simplify: 22p - 7p + 19 - 15 - 12
15p - 8
What are the four types of linear functions?
direct variation, slope-intercept form, standard form and point-slope form
simplify: 4h2k - 4hk2 + 2k2 + 7hk2 - 3h2k - 3hk2
2hk + 4k
Solve: 21 + x = 2(x - 6)
x = 33
solve 0.8|x+4|-3=1
x=-9 or x=1
What's the slope of the line passing through (3,9) (5,4)
slope: -5/2