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