If the points \((-2,3)\), \((x,y)\) and \((-3,5)\) lie on a straight line, then the equation of the line is
A\(x-2y-1=0\)
B\(2x+y-1=0\)
C\(x+2y-1=0\)
D\(2x+y+1=0\)
Mathematics · Question Bank
Analytic Geometry
189 of 233 questions match · page 5 of 10. Answer in your head first, then check the solution.
The equation of a line that intercepts the x-axis at \(x=4\) and the y-axis at \(y=-6\) is,
A\(3x+2y=12\)
B\(2x-3y=12\)
C\(3x-2y=12\)
D\(2x-3y=12\)
A line with an inclination of \(45^\circ\) passes through \((-5/2,-9/2)\). What is the x-coordinate of a point on the line if its corresponding y-coordinate is \(6\)?
A6
B7
C8
D9
Find the equation of the line passing through the origin and with a slope of \(6\)?
A\(y-6x=0\)
B\(y=-6\)
C\(x+y=-6\)
D\(6x+y=0\)
Find the equation of the line if the x-intercept and y-intercept are \(-2\) and \(4\), respectively.
A\(y-2x-4=0\)
B\(y+2x-4=0\)
C\(y-2x+4=0\)
D\(y+2x+4=0\)
Determine B such that \(3x+2y-7=0\) is perpendicular to \(2x-By+2=0\).
A5
B4
C3
D2
The line \(2x-3y+2=0\) is perpendicular to another line \(L_1\) of unknown equation. Find the slope of \(L_1\).
A\(3/2\)
B\(-3/2\)
C\(2/3\)
D\(-2/3\)
A line through \((-5,2)\) and \((1,-4)\) is perpendicular to the line through \((x,-7)\) and \((8,7)\). Find x.
A4
B-5
C-6
D\(-19/3\)
What is the equation of the line that passes thru \((4,0)\) and is parallel to the line \(x-y-2=0\)?
A\(x-y+4=0\)
B\(x+y+4=0\)
C\(x-y-4=0\)
D\(x-y=0\)
Find the equation of the line through point \((3,1)\) and is perpendicular to the line \(x+5y+5=0\)
A\(5x-2y=14\)
B\(5x-y=14\)
C\(2x-5y=14\)
D\(2x+5y=14\)
Find the equation of the perpendicular bisector of the line joining \((5,0)\) and \((-7,3)\)
A\(8x+2y+11=0\)
B\(8x-2y+11=0\)
C\(8x-y+11=0\)
D\(8x+y+11=0\)
Which of the following lines is parallel to the line \(3x-2y+6=0\)?
A\(3x+2y-12=0\)
B\(4x-9y=6\)
C\(12x+18y=15\)
D\(15x-10y-9=0\)
The equation of the line through \((-3,-5)\) parallel to \(7x+2y-4=0\) is
A\(7x+2y+31=0\)
B\(7x-2y+30=0\)
C\(7x+2y-4=0\)
D\(2x+7y+30=0\)
What is the equation of the line joining the points \((3,-2)\) and \((-7,6)\)?
A\(2x+3y=0\)
B\(4x-5y=22\)
C\(4x+5y=2\)
D\(5x+4y=7\)
What is the equation of the line passing through \((-2,6)\) with the x-intercept half the y-intercept?
A\(x-y=6\)
B\(2x+2y+2=0\)
C\(3x-y+2=0\)
D\(2x+y-2=0\)
Find the slope of a line having a parametric equation of \(x=2+t\) and \(y=5-3t\).
A2
B3
C-2
D-3
Find the slope of the line having a parametric equation \(y=4t+6\) and \(x=t+1\)
A1
B2
C3
D4
Two vertices of a triangle are \((2,4)\) and \((-2,3)\) and the area is \(2\) square units, the locus of the third vertex is
A\(4x-y=14\)
B\(4x+4y=14\)
C\(x+4y=12\)
D\(x-4y=-14\)
Find the area of the triangle which the line \(2x-3y+6=0\) forms with the coordinate axis.
A3
B4
C5
D2
A line passes through point \((2,2)\). Find the equation of the line if the length of the line segment intercepted by the coordinates axes is the square root of \(5\).
A\(2x+y-2=0\)
B\(2x-y-2=0\)
C\(2x-y+2=0\)
D\(2x+y+2=0\)