Welcome to your ACT 1 Alg: Find rate of change

$Q_{1}:$ Which is the following is true about the figure?

$Q_{2}:$ The slope of a line through $(x_{1},y_{1})$ and $(x_{2},y_{2})$ is

$Q_{3}:$ The standard form of a linear equation of a line is

$Q_{4}:$ The table at the right shows Evan’s height from age $12$ to $18$. Find the average rate of change in Evan’s height from age $12$ to $18$. Average rate of change is

$Q_{5}:$ Find the slope of the line that passes through $(3, -2)$ and $( -5, 4)$.

$Q_{6}:$ Find the $x$-intercept and of $2x+3y= 6$.

$Q_{7}:$ Find the $y$-intercept and of $2x+3y= 6$.

$Q_{8}:$ What is the rate of change shown in the graph of the line?

$Q_{9}:$ What is the average rate of change for the relation shown in the table below?

$Q_{10}:$ The graph of the linear function $f$ passes through the points $( a,1)$ and $(1,b ) $ in the $xy$- plane. If the slope of the graph of $f$ is $1$, which of the following is true?

$Q_{11}:$ What is the slope of the line that passes through $(3, 2)$ and $(- 1, -8)$?

$Q_{12}:$ What is the value of $r$ if the line that passes through $(4,3)$ and $( -5, r)$ has a slope of $−1 $?

$Q_{13}:$ What is the value of $a$ if the line that passes through $(a ,7)$ and $(1,a )$ has a slope of $\frac{-5}{9} ?

$Q_{14}:$ What is the slope of the line in the equation $-x+4y=6$?

$Q_{15}:$ Which of the following is true about the figure?

$Q_{16}:$ Which of the following is true about the figure?

$Q_{17}:$ Which of the following is true about the figure?

$Q_{18}:$ Line $L$ in the $xy$- plane contains points from each of the Quadrants $I$, $III$, and $IV$, but no points from Quadrant $II$. Which of the following must be true?

$Q_{19}:$ If the slope of the line in the $xy$- plane that passes through the points $(2, -4)$ and $(6,k )$ is \frac{3}{ 2}, what is the value of $k$ ?

$Q_{20}:$ You are given a linear equation $2y−4x=8$. What is the slope of the line represented by this equation when it is in slope-intercept form?

$Q_{21}:$ You are given the equation $y=0.5x−1$. What does the coefficient of $x (0.5)$ represent in this equation?

$Q_{22}:$ You are given a linear function $f(x)=3x−2$. What is the rate of change of this function?

$Q_{23}:$ You are given a linear equation $y=−2x+7$. What is the rate of change for this equation?

$Q_{24}:$ You have two points on a line: $(2, 5)$ and $(4, 11)$. What is the rate of change (slope) of the line passing through these points?

$Q_{25}:$ You have a table of values for a linear function. What is the rate of change (slope) for this function?