Finding Slope of a Line
Graphing Linear Equations
Slope-Intercept Form
Para & Perp
Writing Equations
100
Write the slope formula
100
What form do we use to graph a linear equation?
the slope-intercept form
y = mx + b
100
What is slope intercept form?
y = mx + b
100
Parallel lines have the ___________ slope, while perpendicular lines have ________________ slopes
The same slopes
Opposite Reciprocal slopes
100
What form of equations do we use for lines?
y = mx + b or slope intercept form.
200
Find the slope of the line that includes the following points.
(4, -5) (-4, 5)
-10/8 which simplifies to -5/4
200
When graphing linear equations, where do we begin?
We begin at b, the y-intercept.
200
In the following linear equation, what is the slope and what is the y-intercept? y = -3/4x
Slope=-3/4, y-intercept=0
200
Find the equation of the line parallel to y=4x-5, with a y-intercept of 6.
y=4x+6
200
Write an equation for a vertical line through the point (-3, 3)
x = -3
300
What is the slope of a line that is parallel to the line
y=4x-5
Old m=4
new m=4
300
Graph the following equation. Include at least 3 points.
y = 1/3x + 4
Graph should start with the point at (0, 4) Movement should be 1 up and 3 to the right continuing to another point.
Movement could also be 1 down and 3 to the left.
300
Rewrite this equation in slope-intercept form.
x + y = -12
y = -x - 12
300
Find the equation of the line perpendicular to y=3x-5, with a y-intercept of (0,5)
Perpendicular lines have opposite reciprocal slopes.
m=-1/3 b=5
y=(-1/3)x+5
300
Write an equation for a line with the following slope and point.
m = 5/2 (0, 7)
y= (5/2)x + 7
400
Find the slope of the line that includes the following points.
(-12, -9) (-3, -3)
-6/-9 = 6/9 = 2/3
400
Graph the following equation. Include at least three points.
y = -2
Graph should begin with a point on the y-axis at -2. A horizontal line should be drawn through -2 extending on both sides of the y-axis.
400
Rewrite the following equation in slope-intercept form. 3x + 6y = -24
y = -1/2x - 4
400
Find the equation of the line parallel to y=8x+4, that goes through the point (2,1)
m=8 b=-15
y=8x-15
400
Write an equation for a line with the following slope and point.
m = 2/3 (3, 0)
y = 2/3x - 2
500
What is the slope of a line that is perpendicular to the line
y=-2x+3
old m=-2
new m=1/2
500
Make a table of values with at least 4 ordered pairs for the following equation.
y = 1/2x -5
Then plot the ordered pairs. Draw a line through the points.
Table should list four numbers chosen for x and then solved by multiplying by 1/2 and subtracting 5.
If x is 2 then If x is 4 then
1/2(2) = 1 - 5 1/2(4) = 2 - 5
then y = -4 then y = -3
500
Rewrite the following equation in slope-intercept form. 3.5x - 7y = -21
y = 1/2x - 3
500
Find the equation of the line perpendicular to 2x+y=8, that goes through the origin
Old slope=-2 --> New slope= 1/2
new y-intercept=(0,0)
y=(1/2)x+0
500
Write an equation for a line with the following two points. Find the slope and y intercept. (15, -10) (5, 10)
slope = -2 y-intercept = 20
y = -2x + 20