# Test: Coordinate Geometry II - Challenging

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Question 1:   Rewrite the equation of a straight line in the slope-intercept form: $-3x+5y+2=0$
$y=\frac{3}{5}x+\frac{2}{5}$
$y=-\frac{3}{5}x-2$
$y=-\frac{3}{5}x+\frac{2}{5}$
$y=\frac{3}{5}x-\frac{2}{5}$
Question 2:   Rewrite the equation of a straight line in the slope-intercept form: $4x-2y+5=0$
$y=\frac{1}{2}x+2$
$y=-2x+\frac{5}{2}$
$y=-\frac{1}{2}x-\frac{5}{2}$
$y=2x+\frac{5}{2}$
Question 3:   Find the equation of a straight line that passes through the points $A\left(2,-3\right),B\left(-6,1\right)$
$y=\frac{1}{2}x+2$
$y=-\frac{1}{2}x-4$
$y=-\frac{1}{4}x-3$
$y=-\frac{1}{2}x-2$
Question 4:   Find the equation of a straight line that passes through the points $A\left(-3,-3\right),B\left(1,5\right)$
$y=2x+3$
$y=-\frac{1}{3}x-1$
$y=3x+1$
$y=\frac{1}{2}x+4$
Question 5:   Find the equation of a straight line knowing that it crosses $x$-axis at $3$ and $y$-axis at $-4$
$y=\frac{1}{2}x-4$
$y=\frac{1}{4}x-3$
$y=\frac{2}{3}x+3$
$y=\frac{4}{3}x-4$
Question 6:   Find where function $f\left(x\right)=-\frac{1}{3}x+1$ crosses $x$ and $y$ axis
$\left\{\begin{array}{l}x-axis:\left(0,3\right)\\ y-axis:\left(1,0\right)\end{array}$
$\left\{\begin{array}{l}x-axis:\left(3,0\right)\\ y-axis:\left(0,1\right)\end{array}$
$\left\{\begin{array}{l}x-axis:\left(-3,0\right)\\ y-axis:\left(0,1\right)\end{array}$
$\left\{\begin{array}{l}x-axis:\left(1,0\right)\\ y-axis:\left(0,3\right)\end{array}$
Question 7:   Which of the following functions is parallel to $f\left(x\right)=-\frac{5}{3}x+1$?
$f\left(x\right)=\frac{3}{5}x+1$
$f\left(x\right)=\frac{5}{3}x+2$
$f\left(x\right)=-\frac{5}{3}x-\frac{17}{13}$
$f\left(x\right)=\frac{3}{5}x-1$
Question 8:   Which of the following functions is parallel to $3y+7x-5=0$?
$f\left(x\right)=3x+5$
$f\left(x\right)=-\frac{7}{3}x+\frac{2}{5}$
$f\left(x\right)=\frac{3}{7}x+\frac{1}{9}$
$f\left(x\right)=2\frac{1}{3}x-\frac{17}{18}$
Question 9:   Find the equation of a straight line that is perpendicular to $f\left(x\right)=\frac{1}{2}x-5$ and crosses point $A\left(3,-2\right)$
$f\left(x\right)=-3x+8$
$f\left(x\right)=-\frac{1}{2}x-4$
$f\left(x\right)=2x+2$
$f\left(x\right)=-2x+4$
Question 10:   Which of the following functions is perpendicular to $f\left(x\right)=-\frac{1}{5}x+7$?
$f\left(x\right)=-5x+1$
$f\left(x\right)=5x-2$
$f\left(x\right)=\frac{1}{5}x+3$
$f\left(x\right)=-\frac{1}{5}x+10$