Slippery Slopes
What is the slope in the equation
y=-3x+5?
a=-3
What is the y-intercept in the equation
y=3x+7
b=7 or (0,7)
What is the equation of the line with a slope of 6 and a y-intercept of -10?
a=6, b=-10
y=ax+b
y=6x-10
What is the slope of a line parallel to
y=-5x+10?
a=-5
How do you find the negative reciprocal of a slope?
1. Flip the fraction.
2. Change the sign!
What is the slope of the equation
y=x/2-5?
a=1/2
What is the y-intercept of a line that passes through (2, 4) and (0, 5)?
b=5 or (0,5)
What is the equation of the line that has a slope of 5 and passes through the point (0, -2)?
a=5, b=-2
y=ax+b
y=5x-2
What is the slope of a line parallel to
4y-8x=12?
a=2
What is the perpendicular slope to
a=-2?
a=1/2
What is the slope in the equation
6y+10x=6?
a=-5/3
What is the x-intercept of the line
y=x+5?
0=x+5
0-5=x
x=-5 or (-5, 0)
What is the equation of the line that passes through (0, 2) and (10, 12)?
a=(y_2-y_1)/(x_2-x_1)=(12-2)/(10-0)=10/10
a=1, b=2
y=x+2
What is the equation of a line that passes through (2, 4) and is parallel to
2y=-x+4?
y=-1/2x+5
What is the slope of the line that is perpendicular to
6y-3x=12?
In y=ax+b form:
y=1/2x+12
The perpendicular slope is:
a=-2/1=-2
What is the slope of an equation that passes through the points
(1, 5) and (-3, 11)?
a=(y_2-y_1)/(x_2-x_1)=(11-5)/(-3-1)=6/-4
a=-3/2
What is the x-intercept of the line
y-5x=-10?
y=5x-10
0=5x-10
0+10=5x
10/5=5x/5
x=2 or (2,0)
What is the equation of the line that passes through (5, -3) and (10, 12)?
a=(y_2-y_1)/(x_2-x_1)=(12-(-3))/(10-5)=15/5
a=3
y=3x+b
b=-18
y=3x-18
What is the equation of a line parallel to y=0 and passes through the point (-5, 2)?
y=2
What is the equation of the line that passes through (2, 4) and is perpendicular to
y=4x+10?
a=-1/4
x=2
y=4
y=-1/4x+9/2
What is the slope of an equation that passes through the points
(-1, -10) and (-1, 10)?
a=(y_2-y_1)/(x_2-x_1)=(10-(-10))/(-1-(-1))=10/0
a text( is undefined.)
What is the y-intercept and x-intercept of the line
y=5?
y-intercept: (0, 5)
x-intercept: Does not exist!
What is the equation of the line that passes through the points (5, 2) and (-10, 2)?
a=(y_2-y_1)/(x_2-x_1)=(2-2)/(-10-5)=0/-15
a=0
y=ax+b
y=2
What is the equation of a line that is parallel to the y-axis and passes through the point (8, -2)?
y-axis: x=0
Parallel means same letter!
x=8
What is the equation of a line that is perpendicular to the y-axis and passes through the origin?
y-axis: x=0
Origin: (0,0)
Perpendicular means change letter!
y=0 text( or the x-axis!)