# Test: Coordinate Geometry II - Challenging

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Question 1:   Rewrite the equation of a straight line in the slope-intercept form: $-3x+5y+2=0$
$y=\frac{3}{5}x+\frac{2}{5}$
$y=-\frac{3}{5}x+\frac{2}{5}$
$y=-\frac{3}{5}x-2$
$y=\frac{3}{5}x-\frac{2}{5}$
Question 2:   Rewrite the equation of a straight line in the slope-intercept form: $4x-2y+5=0$
$y=-\frac{1}{2}x-\frac{5}{2}$
$y=\frac{1}{2}x+2$
$y=-2x+\frac{5}{2}$
$y=2x+\frac{5}{2}$
Question 3:   Find the equation of a straight line that passes through the points $A\left(2,-3\right),B\left(-6,1\right)$
$y=-\frac{1}{2}x-2$
$y=-\frac{1}{2}x-4$
$y=\frac{1}{2}x+2$
$y=-\frac{1}{4}x-3$
Question 4:   Find the equation of a straight line that passes through the points $A\left(-3,-3\right),B\left(1,5\right)$
$y=\frac{1}{2}x+4$
$y=3x+1$
$y=2x+3$
$y=-\frac{1}{3}x-1$
Question 5:   Find the equation of a straight line knowing that it crosses $x$-axis at $3$ and $y$-axis at $-4$
$y=\frac{1}{4}x-3$
$y=\frac{1}{2}x-4$
$y=\frac{4}{3}x-4$
$y=\frac{2}{3}x+3$
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