MathematicsGrade 8en

📈 Linear Relations & Graphing

Master the fundamentals of linear relations in Grade 8 mathematics. This quiz focuses on creating and interpreting tables of values, reading and constructing graphs, understanding slope and $y$-intercept, and writing equations from visual and tabular data. You'll also explore how to use linear models to solve real-world problems and identify what makes a relation linear. **What you'll learn:** - Create and interpret tables of values for linear relations - Calculate and interpret slope and $y$-intercept from graphs and equations - Write linear equations from graphs, tables, and word problems - Distinguish between linear and non-linear relations - Apply linear models to solve contextual problems

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Questions in this quiz

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Question 1
Which of the following relations is linear?
Question 2
The slope of a line is the ratio of the vertical change to the horizontal change between any two points on the line.
Question 3
A line passes through the points $(0, 5)$ and $(2, 9)$ . What is the slope of this line?
Question 4
What is the $y$ -intercept of the equation $y = -3x + 7$ ?
Question 5
A table of values shows: when $x = 1$ , $y = 4$ ; when $x = 2$ , $y = 7$ ; when $x = 3$ , $y = 10$ . Which equation represents this linear relation?
Question 6
A negative slope indicates that as $x$ increases, $y$ decreases.
Question 7
A line has a slope of $\frac{1}{2}$ and passes through the point $(4, 5)$ . What is the equation of this line?
Question 8
Which graph would show a relation that is NOT linear?
Question 9
The equation $y = 5$ represents a linear relation with a slope of zero.
Question 10
Sarah's phone plan costs $20 per month plus$ 0.10 per text message. If $x$ represents the number of text messages and $y$ represents the total cost, which equation models this linear relation?
Question 11
What is the slope of the line that passes through $(2, 6)$ and $(5, 0)$ ?
Question 12
If a table of values shows that every time $x$ increases by 1, $y$ increases by 3, then the relation is linear.
Question 13
A line passes through the point $(3, 11)$ and has a slope of $4$ . Where does this line cross the $y$ -axis?
Question 14
Which of the following tables represents a linear relation?
Question 15
Two lines with the same slope are parallel and will never intersect.
Question 16
A biologist measures the height of a plant over time. The table shows: Day 0: 5 cm, Day 1: 8 cm, Day 2: 11 cm, Day 3: 14 cm. If this linear growth pattern continues, what will be the predicted height on Day 5?
Question 17
Which equation represents a line with a slope of $-\frac{1}{3}$ and a $y$ -intercept of $2$ ?