Finding Slope of a Line
Word Problems
Vocabulary
Writing Equations
Random
100
Identify the slope of the following equation.
y = -x + 4
Slope: -1
100
What two pieces of information do we need to graph a linear equation or write a linear equation?
Slope and y-intercept
100
The slope of a vertical line will always be ___________________.
Undefined
100
What is the y-intercept (b) from the table below?
y-intercept: 2
100
What form of equations do we use for linear relationships?
y = mx + b or slope intercept form.
200
Find the slope from graph
Slope= -4/2 which simplifies to -2
200
Peyton's cell phone company charges $35 for phone service plus $0.50 for each text message. Write the equation that represents this situation.
y = 0.5x +35
200
The slope of a horizontal line will always be ___________________.
Zero
200
What is the slope of the table below?
Slope: 6/4 which simplifies to 3/2
200
A student says the equation of a line with slope 3 that passes through (1,4) is y=3x+4
👉 Is the student correct? If not, what is the correct equation?
They are correct.
300
Find slope from graph.
slope= 2/3
300
A tuxedo rental service charges a $150 flat fee for a suit plus $50 per each additional day. Write the equation that models the situation.
y = 150 + 50x
300
What is the meaning of the slope of a line?
A measure of the steepness of aline or rise/run or change in y/change in x or y2-y1/x2-x1
300
Write the equations for the table below.
y=3x+1
300
A line crosses the y-axis at −2 and rises 1 unit for every 4 units to the right.
👉 Write the equation of the line.
y = 1/4 x -2
400
Find the slope of the line that includes the following points:
(3, -4) and (-1, 2)
Slope: -6/4 which simplifies to -3/2
400
If Josh pays $15 to sign up for his local gym and gets charged $10 per month, how much will he owe the gym after 5 months?
$65
400
What does linear mean?
Straight line or constant rate of change.
400
Write the equation of the graph below.
y=-3x+2
400
Explain how you would graph the equation
y = x + 5.
Graph the y-intercept at 5 on the y-axis. Then rise 1 and run 1 to get your next point.
500
Find the slope of the line that includes the following points. (-12, 9) (-12, -3)
Undefined
500
If Taylor Swift has 3 cats and gets 2 new cats every year, how many cats will she have after 6 years?
15 cats
500
What does y-intercept mean?
Where a line crosses the y-axis.
500
Write the equation of the graph below.
y=2x+3
500
What is the slope of the linear equation?
The slope is 3.