Slope-Point Form
Slope-Intercept Form
General Form and Word Problems
Graphs
Potpourri
100
Write out the format for the slope-point form equation. It doesn't need to be perfect, but you need to have the right order of terms and the right signs for them.
y-y1=m(x-x1)
100
Write out the format of a slope-intercept form equation.
y=mx+b
100
Write out the format of a general form equation. It doesn't need to be perfect, but you need to have the terms in the right order.
Ax+By+C=0
100
Just by looking at this line, can you tell if the slope is going to be positive or negative? Explain your answer.
Negative, because the graph is going down from left to right
100
If the slope of a line is -2, what is the slope of a line that is parallel to it?
m = -2
200
What is the slope and a point on the line of the following equation:
y+4=-2(x+3)
Slope = -2
Point = (-3,-4)
200
What is the slope and y-intercept of the line with the following equation?
y=5x-4
Slope = 5
Y-int = -4
200
Rewrite this equation in general form:
y=2x-3
2x-y-3=0
200
What are the x and y intercepts of the graph above?
x = -4
y = 2
200
If this table of values is a linear equation, what is the missing value?
y = 1
300
Write the slope-point form equation of the line that passes through point (-2,5) and has a slope of -4.
y-5=-4(x+2)
300
What is the equation of a line that passes through (0,8) and (-3,10)? Remember:
y=-2/3x+8
300
The cost for 7 dance lessons is $82. The cost for 11 lessons is $122. What is the slope of the line that models this relationship?
m = 10
300
What is the slope of the line above?
m=-3/2
300
The slope of a line that is perpendicular to another can be found by finding this two word term?
Negative Reciprocal
400
Write an equation in slope-point form of the line that passes through (3,-8) and (7,-2). Use the first point to write the equation. Remember:
y+8=3/2(x-3)
400
Rewrite this equation in slope-intercept form:
6x+5y=-15
y=-6/5x-3
400
Rewrite this equation in general form:
y-3=-1/2(x+4)
x+2y-2=0
400
What is the slope of the following line?
m = 0
400
What is the slope of a line that is parallel and the slope of a line that is perpendicular to a line that has a slope of:
-2/3
Parallel: -2/3
Perpendicular: 3/2
500
Write the slope-point form equation of a line that passes through (4,-4) and is parallel to the line with an equation of
y=-x-4
y+4=-(x-4)
500
Write the following equation in slope-intercept form:
-2x+8y-12=0
y=1/4x+3/2
500
A taxi service charges a fixed fee of $8 plus $1.75 for each kilometer traveled. If the total cost for a taxi ride is $25, determine the number of kilometers traveled. Use a linear equation to help you. Round your answer to 1 decimal place.
The taxi travelled 9.7km
500
Write out the equation of this line in any format of your choice:
Slope-Point:
y-2=1/2(x-4)
Slope-Intercept:
y=-1/2x+4
500
In what situation does a straight line have no slope? (Hint: it's not when the slope is 0)
When the line is perfectly vertical, the slope is undefined