Straight Lines ...

Find the equation of the line through the point \((-1,5)\) and making an intercept of \(-2\) on the \(y\)-axis?

The equation of the line passing through the point \((2,3)\) with slope \(2\) is:

The coordinates of a point dividing the line segment joining \((1,2)\) and \((4,5)\) ternally in the ratio \(2: 1\) is:

What is the product of the perpendiculars drawn from the points \(\left(\pm \sqrt{a^{2}-b^{2}}, 0\right)\) upon the line \(b x \cos \alpha+\) ay \(\sin \alpha=a b\)?

Find the value of \(x\) so that the inclination of the line joining the points \((x,-3)\) and \((2,5)\) is \(135^{\circ} ?\)

The slope of the line perpendicular to the line passing through the points \((3,2)\) and \((1,-1)\) is:

What is the equation of the straight line which joins the intersection of the line \(x-y+4=0\) and \(y-2 x-5\) \(=0\) and the point \((3,2)?\)

The point whose abscissa is equal to its ordinate and which is equidistant from \(\mathrm{A}(-1,0)\) and \(\mathrm{B}(0,5)\) is:

What is the equation to the straight line passing through \((5,-2)\) and \((-4,7)?\)

Find the equation of a line having a slope of \(-2\) and passes through the intersection if \(2 x-y=1\) and \(x+ 2 y = 3\).