# Sample quiz on linear vs non-linear relations Main home here.

1. Which of the following relations is linear?
$y=x^2+1$
$y=x^2-1$
$y=x-1$
$y=x^2-2$
2. Which of the following relations is non-linear?
$y=x+x^2$
$y=2x-6$
$y-x=0$
$x-6=0$
3. If a relation is non-linear, then its graph is usually $\cdots$
a straight line
a horizontal line
a vertical line
a curve
4. The shape of the graph of a non-linear relation, for example $y=x^2-2x-3$, is determined/controlled by $\cdots$?
the term $-2x$
the $x^2$ term
the constant term $-3$
the graphing calculator
5. If an equation produces a linear graph, then the degree of the equation will be $\cdots$
$2$
$1$
$3$
$4$
6. What do the graphs of $y=-2$ and $y=-4$ have in common?
they are both horizontal lines
they are both vertical lines
they are both the same
they have nothing in common
7. What do the graphs of $x=5$ and $x=11$ have in common?
they are both the same
they have nothing in common
they are both vertical lines
they are both horizontal lines
8. What is the degree of the variable $x$ in the equation $y=3x+2$?
$0$
$3$
$2$
$1$
9. If a linear relation is written as $y=mx+b$, what are the roles of $m$ and $b$?
$m$ is the slope and $b$ is the $y$-intercept
$m$ is the slope and $b$ is the $x$-intercept
$m$ is the $y$-intercept and $b$ is the slope
$m$ is the $x$-intercept and $b$ is the slope
10. The slope and the $y$-intercept of the linear relation $y=3x-5$ are $\cdots$ and $\cdots$, respectively?
$3$ and $5$
$3$ and $-5$
$5$ and $-3$
$-5$ and $3$
11. Identify the slope and the $y$-intercept of the line $y=4$.
slope is $4$ and $y$-intercept is $0$
slope is $0$ and $y$-intercept is $4$
slope is $0$ and no $y$-intercept
slope is $4$ and $y$-intercept is $4$
12. Identify the slope and the $y$-intercept of the line $x=5$
slope is undefined and no $y$-intercept
slope is $5$ and $y$-intercept is undefined
slope is $0$ and $y$-intercept is $5$
slope is $5$ and $y$-intercept is $0$
13. If the equation $y=-2x+3$ is re-written in the general form $ax+by+c=0$, what are the values of $a,b$, and $c$?
$a=1,b=-2,c=-3$
$a=1,b=-2,c=3$
$a=-2,b=1,c=3$
$a=2,b=1,c=-3$
14. Re-write $3x-2y-6=0$ in the form $y=mx+b$
$y=\frac{3}{2}x+3$
$y=\frac{3}{2}x-3$
$y=\frac{3}{2}x-6$
$y=\frac{2}{3}x-3$
15. Identify the slope and the $y$-intercept of the linear relation $2x-5y+10=0$
slope is $-\frac{2}{5}$ and $y$-intercept is $10$
slope is $\frac{5}{2}$ and $y$-intercept is $10$
slope is $\frac{2}{5}$ and $y$-intercept is $2$
slope is $\frac{2}{5}$ and $y$-intercept is $-2$