# Sample quiz on rate of change in linear relations Main home here.

1. For a linear relation, the first differences represent $\cdots$?
$x$-intercept
$y$-intercept
the slope
initial value
2. What is the value of the first differences for the relation $y=3x-3$?
$3$
$-3$
$1$
$0$
3. For a linear relation of the form $y=mx+b$, the first differences are always $\cdots$?
zero
positive
negative
constant
4. For a linear relation, the rate of change represents $\cdots$?
initial value
the slope
$x$-intercept
$y$-intercept
5. For a linear relation $y=mx+b$, the rate of change is $\cdots$?
$b$
$m$
$1$
$0$
6. What is the rate of change for the linear relation $2x+3y-8=0$?
$-\frac{2}{3}$
$-\frac{3}{2}$
$\frac{8}{3}$
$\frac{3}{8}$
7. If the rate of change for the linear relation $ax+2y-5=0$ is $7$, find the value of $a$.
$a=\frac{2}{7}$
$a=14$
$a=-14$
$a=-\frac{7}{2}$
8. In a table of values for a linear relation, two coordinates are $(0,250)$ and $(500,260)$. The rate of change in the dependent variable is $\cdots$?
$10$
$50$
$-\frac{1}{50}$
$\frac{1}{50}$
9. Two points in a table of values for a linear relation are $(0,50)$ and $(50,100)$. What is the rate of change in the dependent variable?
$1$
$-1$
$-50$
$50$
10. For what value of $k$ is the rate of change in the linear relation $y=2x+k$ equal to $2$?
$k=2$
$k=-2$
no value of $k$
any value of $k$