Rate of Change and Slope
Linear Equations
Graphing Linear Equations
Parallel and Perpendicular Lines
Writing Equations from Graphs
100
Find the slope of the line that passes through (2,2), (3,1)
-1
100
Write an equation of a line in POINT-SLOPE form that passes through (-5,2) and has a slope of 5/3.
y-2=5/3(x+5)
100
RANDOM TRIVIA!
What is the largest planet in our solar system?
Jupiter
100
Write an equation of the line in slope-intercept form that passes through the given point and is parallel to the graph of the given equation. (2, -1); y = 5x - 2
y = 5x - 11
100
Write an equation for the line in SLOPE-INTERCEPT FORM
y=-3/2x+3
200
Find the slope of the line that passes through (4,2), (0,2)
0
200
RANDOM TRIVIA!
Who composed the music for the movie “The Lion King”?
Elton John
200
Graph: y=4
See graph (horizontal line with y-intercept at 4)
200
Write an equation of the line (in slope-intercept form) that passes through the given point and is parallel to the graph of the given equation. (0, -5); y = 9x
y = 9x - 5
200
Write an equation for the graph in POINT-SLOPE FORM.
y-4=2/3(x-1) or y-2=2/3(x+2)
-->points (1,4) or (-2,2)
300
RANDOM TRIVIA!
What is the name of Prince Harry and Meghan Markle’s first child?
Archie
300
Write an equation of a line in SLOPE-INTERCEPT FORM that passes through (-3,4) and (1,4)
y=4
300
Graph 3x+6y=12
See graphs:
(change to y=-1/2x+2, or graph x-int = 4 and y-int=2)
300
Determine whether the graphs of the two equations are parallel, perpendicular, or neither:
y = 6x + 2 and 18x - 3y = 15
Parallel (since they have same slopes)
300
Write an equation for the graph:
x=-3
400
Find the slope of the graph of x-4y=7
1/4
400
Find the x-intercept and the y-intercept:
2x-4y=-8
x-intercept = -4
y-intercept = 2
400
Graph: y - 4 = 2/3 (x - 1)
See graphs:
(Point = (1,4) Slope = 2/3)
400
Determine whether the graphs of the two equations are parallel, perpendicular, or neither.
2x - 5y = 0 and y + 3 = 5/2x
Neither
400
RANDOM TRIVIA!
What temperature does water boil?
212ºF
(If no one has exact answer, closest answer wins the points)
500
A line passes through (-3, -2) and (x, -5) and has a slope of -1. Find the value of x.
x=0
500
Find the x- and y-intercepts:
y+3=5/2x
x-intercept: 6/5 or 1.2
y-intercept: -3
500
Graph a line that has the same slope as 2x-2y=4 and the same y-intercept as y+2=1/2(x+6)
See graph:
y=x+1
Slope = 1, y-int = 1
500
Write an equation of a line in STANDARD FORM that passes through (1,-2) and is perpendicular to y=5x+4
x+5y=-9
--> use y+2=1/5(x-1), then convert to standard form (get rid of fractions)
500
Write an equation for the graph in STANDARD FORM:
2x+3y=3
(Start with point-slope form, then convert)