Finding Slope of a Line
Parallel and Perpendicular Lines
Slope-Intercept Form
Point-Slope Form
Writing Equations
100
Identify the slope of the following equation.
y = mx + b
the variable m
100
What is the slope of the line that is parallel to the line 5x + 5y = 15
M = -1
100
What is slope intercept form?
y = mx + b
100
What is Point-Slope Form?
y - y1 = m(x - x1)
100
The profit, y, of a company is equal to 11 times the number of hours, x, the company works plus their $100 set-up fee. What linear equation represents this scenario?
y = 11x + 100
200
Identify the slope of the following equation.
y = 2x + 3
slope is 2
200
What is the slope of the line that is perpendicular to the line y = 3/2x - 4
m = -2/3
200
In the following linear equation, what is the y-intercept?
y = -3/4x
0
200
Write the equation of a line in point-slope form through the point (5, 4) with a slope of -6.
y - 4 = -6(x - 5)
200
Write an equation for a vertical line through the point (-3, 3)
x = -3
300
Name three ways to describe slope.
Possible answers:
rate of change rise over run y - y
x - x
slope = m in y = mx + b
300
Find the equation of the line through the point (3, 5) that is parallel to the line y = 1/3x - 5
y = 1/3x + 4
300
Rewrite this equation in slope-intercept form.
x + y = -12
y = -x - 12
300
Write the equation of a line in Point-Slope Form that goes through the two points (5, 11) and (10, 26).
y - 11 = 3(x - 5)
or
y - 26 = 3(x - 10)
300
Write an equation for a line with the following slope and points.
m = 2/3 and (0, -2), (3, 0)
y = 2/3x - 2
400
Find the slope of the line that includes the following points.
(4, -5) (-4, 5)
-10/8 which simplifies to -5/4
400
Find the equation of the line that goes through the point (8, 3) and is perpendicular to the line y = 2x - 4.
y = -1/2x + 7
400
Rewrite the following equation in slope-intercept form.
3x + 6y = -18
y = -1/2x - 3
400
Write the equation of the line through the points (3, -4) and (9, -8)
y+ 4 = -1/3(x - 3)
or
y + 8 = -1/3(x - 9)
400
Write an equation for a line with the following two points. (15, -10) (5, 10)
y = -2x + 20
500
Find the slope of the line that includes the following points.
(-12, -9) (-3, -3)
-6/-9 = 6/9 = 2/3
500
What line goes through the point (4, 8) and is perpendicular to the line that goes through (4, 8) and (2, 6)?
y = -1/2x + 6
500
Rewrite the following equation in slope-intercept form.
3.5x - 7y = -21
-7y = -3.5x + 21
y = 0.5x - 3 or y = 1/2x - 3
500
y - 4 = -2/5(x - 0)
or
y - 2 = -2/5(x - 5)
500
Write an equation for a line through the following two points. (4, 9) and (0, -1)
y = -2x - 1