slope & direct variation
slope - intercept form
writing equations in slope - intercept form
writing equations in point - slope form
parallel & perpendicular lines
100
Rise/Run=y2-y1/x2-x1
What is formula for slope
100
y=mx+b
What is formula for slope-intercept form
100
(1,9), m=4
What is y=4x+b 9=4(1)+b 9=4+b -4 -4 5=b y=4x+5
100
y-y1 = m(x-x1)
What is formula for point-slope form
100
define parallel lines
What is lines in the same plane that never intersect
200
(4,3)&(3,-2)
What is -2-3/3-4=-5/-1=5
200
What is a equation of the line with slope 3/2 and y-intercept 2
What is y=3/2x+2
200
(-5,4), m=-4
What is y=-4x+b 4=-4(-5)+b 4=20+b -20 -20 -16=b y=-4x-16
200
a line passes through (8,-4) and has slope 2/3. what is an equation in point-slope form of the line
What is y-4=2/3(x-8) y+4=2/3(x-8)
200
two nonvertical lines are_________ if the product of their slope is -1(negative reciprocals).
What is perpendicular lines
300
(3,4)&(6,5)
What is 5-4/6-3=1/3
300
What is the equation with the slope -2/2 and the y-intercept 2
What is y=-1x+2
300
x-intercept: -3, y-intercept: 6
What is (-3,0) (0,6) m=6-0/0-3=6/3=2 y=2x+6
300
Write the Equation: y+5=-5/4(x-2) in Standard form
What is y+5=-5/4x+ 5/2 5/4x+y=-5/2 -5 -5 *4 *4 y=-5/4x-5/2 5x+4y=-10 +5/4x +5/4x
300
the slope of a line is 2. what is the slope of the line perpendicular to that line
What is m=-1/2
400
y=kx or y/x=k
What is Formula for Direct Variation
400
what equation in slope intercept form represents the line that passes through the points (3,-2) and (0,-3)
What is m=-3-2/0-3=-1/-3=1/3 y=1/3x-3
400
(1,3), (-3,-5)
What is m=-5-3/-3-1=-8/-4=2 y=2x+b 3=2(1)+b y=2x+2 3=2+b -2 -2 1=b
400
write the equation y-2=1/2(x+5) in point slope form
What is y-2=1/2x+5/2 +2 +2 y=1/2x+9/2
400
a line passes through (-3,-1) and is parallel to the graph of y=2x+3. what is the equation in slope intercept form.
What is m=2 y+1=2(x+3) y+1=2x+6 -1 -1 y=2x+5
500
Weight on the moon y varies directly with weight on earth x. A person who weighs 100 lbs on earth weighs 16.6 lbs on the moon. What is the equation that relates weight on earth x and weight on the moon y? what is the graph of this equation
What is y=kx 16.6/100=k(100)/100 = .166 k=.116k
500
A plumber charges a $65 fee for a repair plus $35 per hour. Write a equation to model the total cost y of a repair that takes x hours
What is y=35x+65
500
x-intercept: 1, y-intercept: 2
What is (1,0) (0,2) m=2-0/0-1=2/-1=-2 y=-2x+2
500
(1,4) & (-2,-3) 1.) find the slope 2.) pick a point 3.) plug into point slope form
What is m=4-3/1-2=7/3 y-4=7/3(x-1) or y+3=7/3(x+2)
500
are the graphs of the equations y=3/4x+7 and 4x-3y=9 parallel, perpendicular, or neither
What is 4x-3y=9 -4x -4x -3y=-4x+9 -3 -3 -3 y=4/3x-3