ACT 1 Alg: Translate between different representations of a line

Welcome to your ACT 1 Alg: Translate between different representations of a line

$Q_{1}:$ Which of the following equation represent the table?

$y=2x+1$

$y=\frac{2}{3}x+1$

$y=\frac{3}{2}x+1$

$y=\frac{9}{6}x+1$

$Q_{2}:$ The graph shown below, which equation describe a line $g$?

$g(x)=\frac{-1}{2}x+4$

$g(x)=\frac{1}{2}x+4$

$g(x)=-4x+4$

$g(x)=4x+4$

$Q_{3}:$ What is an equation of the line that passes through the origin and the point $(4,5)$?

$y=\frac{4}{5}x$

$y=\frac{4}{5}x+4$

$y=\frac{4}{5}x+5$

$y=\frac{5}{4}x$

$Q_{4}:$ Which of the following equation represent $5(x-10y)=x+10$

$y=-\frac{2}{25}x+\frac{1}{5}$

$y=\frac{2}{25}x+\frac{1}{5}$

$y=\frac{-2}{25}x-\frac{1}{5}$

$y=\frac{2}{25}x-\frac{1}{5}$

$Q_{5}:$ If $\frac{2}{3} (x+3y)=-2x-1$, what is the value of $y$ in term of $x$?

$y=\frac{4}{3}x+\frac{1}{2}$

$y=\frac{-4}{3}x+\frac{1}{2}$

$y=\frac{-4}{3}x-\frac{1}{2}$

$y=\frac{4}{3}x-\frac{1}{2}$

$Q_{6}:$ Which of the following line has a slope of $\frac{2}{3}$ and contains the point $(0,-4)$?

$y=\frac{2}{3}x+4$

$y=\frac{2}{3}x-4$

$y=\frac{-2}{3}x-4$

$y=\frac{-2}{3}x+4$

$Q_{7}:$ Which of the following line has a slope of $3$ and contains the point $(0,-5)$?

$y-x+4=0$

$y=3x-4$

$y+2=3(x-1)$

$y+3x=5$

$Q_{8}:$ If a line of slope $0.6$ contains the point $(3, 1)$, then it must also contain which of the following points?

$(0,0)$

$(-2,-2)$

$(3,4)$

$(2,-1)$

$Q_{9}:$ The graph shown below, which equation describe a line

$y=3x-2$

$y=3x+2$

$y=-3x-2$

none

$Q_{10}:$ which of the following describe a figure?

A line with a positive slope

A line with zero slope

A line with a slope of $-1$ rises at a $45°$ angle

A line with a slope of $1$ rises at a $45°$ angle

$Q_{11}:$ which of the following describe a figure?

A line with a positive slope

A line with zero slope

A line with a slope of $-1$ rises at a $45°$ angle

A line with a slope of $1$ rises at a $45°$ angle

$Q_{12}:$ Which of the following line in quadratic $III, IV $?

$l$

$P$

$m$

$n$

$Q_{13}:$ Which of the following lines has a positive slope?

$n$

$l$

$m$

All of the above

$Q_{14}:$ Which of the following lines has zero slope?

$n$

$l$

$m$

none

$Q_{15}:$ Which of the following lines has a negative slope?

$p$

$l$

$m$

All of the above

$Q_{16}:$ Which of the following could be the graph of $2(y + 1) = −6(x − 2)$ ?

A

B

C

D

$Q_{17}:$ Which of the following equation represent the graph below?

$-3y-2x-6=0$

$3y-2x+6=0$

$3y-2x-6=0$

$3y+2x-6=0$

$Q_{18}:$ Which of the following equation has y-intersperse is $5$ and x-intersperse is $-6$?

$6y+5x=30$

$6y-5x=30$

$6y-5x=-30$

$-6y+5x=30$

$Q_{19}:$ The equation of the line with $y$-intercept $(0, 4)$ and $x$-intercept $(−3, 0)$ is

$y=\frac{4}{3}x+4

$y=\frac{-4}{3}x+4

$y=\frac{4}{3}x-4

$y=\frac{-4}{3}x-4

$Q_{20}:$ The table at the below shows Evan’s height from age 12 to 18. Which the following equation represent the Evan’s height from age 12 to 18?

y=\frac{-3}{2}x-43

y=\frac{-3}{2}x+43

y=\frac{3}{2}x-43

y=\frac{3}{2}x+43

$Q_{21}:$ Which of the following statement is true for table below?

$y=3x+1$

the slope is negative

the slope is positive

the slope is $\frac{2}{5}$

$Q_{22}:$ You are given the equation $ y=−2x+5$. Which of the following statements best describes the slope and $y$-intercept of the line represented by this equation?

The slope is $5$, and the $y$-intercept is $-2$.

The slope is $-2$, and the $y$-intercept is $5$.

The slope is $2$, and the $y$-intercept is $-5$.

The slope is $-5$, and the $y$-intercept is $2$.

$Q_{23}:$ You receive a verbal description of a line: "The line goes through the point $(0, -3)$ and has a slope of $4$." Which of the following equations represents this line in slope-intercept form?

$y=−3x−4$

$ y=4x−3 $

$ y=−4x+3$

$y=3x+4$

$Q_{24}:$ You are given a graph of a line. The line passes through the point $(4, 2)$ and $(6, 6)$. Which of the following equations represents this line in point-slope form?

$y=2x−4$

$y=2x+4$

$y=2x+2$

$ y=4x+2$

$Q_{25}:$ You are shown a table of values representing a line. Which of the following equations best represents this line?

$y=3x $

$y=2x+1$

$y=3x+1 $

$y=2x$

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