Multi-Step Equations
90 = 5(6 - 6p)
p = -2
Slopes of parallel lines are _______
Equal
y = -3x + 16/3
X int: 16/9
Y int: 16/3
Slope = - 6
(-4, 1)
y = -6x - 23
Determine if the relation is a function.
{(-1,-9),(0,-5),(4,3),(6,-2)}
Yes
-5(-5 + 8a) = 305
a = -7
Slopes of perpendicular lines are ________ _________
Negative reciprocals (opposites).
4x - y = 8
X int: 2
Y int: -8
Slope = 4/3
(-5, -6)
y = 4/3x + 2/3
Determine if the relation is a function.
{5,2),(-3,4),(5,-6),(8,0)}
No
4(4x - 6) = -37 + 3x
x = -1
Write "slope-intercept form".
y = mx + b
(3/4)x - (1/3)y = -2
X int: -8/3
Y int: 6
Passes through (-4, 11) and (2, 8)
y = -1/2x + 9
Use f(x) = -5 - 14
f(-9)
f(-9) = 31
-(-6 + 8x) = 36 + 2x
x = -3
Write "point-slope form"
y - y1 = m(x - x1)
6x + 5y = -15
X int: -5/2
Y int: -3
Passes through (6, 3) and (14, -5)
y = -x + 9
Use q(x) = |3x - x3|
q(5)
q(5) = 110
1 + 4x - 3 = -(-8 + x) + 7(x - 2)
x = 2
Write "slope" form
y2 - y1 / x2 - x1
(7/3)x - (1/3)y = 1
X int: 3/7
Y int: -3
Passes through (2, -2) and (-3, -17)
y = 3x - 8
Use f(x) = -4x + 9
f(7w - 5)
f(7w - 5) = -28w + 29