Analytic Geometry

A line passes thru \((1,-3)\) and \((-4,2)\). Write the equation of the line in slope-intercept form.

What is the x-intercept of the line passing through \((1,4)\) and \((4,1)\)?

Find the equation of a straight line with a slope of \(3\) and a y-intercept of \(1\).

If the points \((-2,3)\), \((x,y)\) and \((-3,5)\) lie on a straight line, then the equation of the line is

The equation of a line that intercepts the x-axis at \(x=4\) and the y-axis at \(y=-6\) is,

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 \(6\)?

Find the equation of the line passing through the origin and with a slope of \(6\)?

Find the equation of the line if the x-intercept and y-intercept are \(-2\) and \(4\), respectively.

Determine B such that \(3x+2y-7=0\) is perpendicular to \(2x-By+2=0\).

The line \(2x-3y+2=0\) is perpendicular to another line \(L_1\) of unknown equation. Find the slope of \(L_1\).

A line through \((-5,2)\) and \((1,-4)\) is perpendicular to the line through \((x,-7)\) and \((8,7)\). Find x.

What is the equation of the line that passes thru \((4,0)\) and is parallel to the line \(x-y-2=0\)?

Find the equation of the line through point \((3,1)\) and is perpendicular to the line \(x+5y+5=0\)

Find the equation of the perpendicular bisector of the line joining \((5,0)\) and \((-7,3)\)

Which of the following lines is parallel to the line \(3x-2y+6=0\)?

The equation of the line through \((-3,-5)\) parallel to \(7x+2y-4=0\) is

What is the equation of the line joining the points \((3,-2)\) and \((-7,6)\)?

What is the equation of the line passing through \((-2,6)\) with the x-intercept half the y-intercept?

Find the slope of a line having a parametric equation of \(x=2+t\) and \(y=5-3t\).

Find the slope of the line having a parametric equation \(y=4t+6\) and \(x=t+1\)