`2x-3y+5=0` in this given straight line find the gradient and y intercept.

If the equation 2x^(2)+2hxy +6y^(2) - 4x +5y -6 = 0 represents a pair of straight lines, then the length of intercept on the x-axis cut by the lines is equal to

Find the slope and y intercept of the straight line 2x-3y+5=0 . Also find the length of the portion of the line intercepted between the coordinate axes.

Find the angle between the straight lines joining the origin to the point of intersection of 3x^2+5x y-3y^2+2x+3y=0 and 3x-2y=1

Find the equation of the straight line passing through the point of intersection of the straight lines x+2y+3=0 and 3x+4y+7=0 and parallel to the straight line y=-(5)/(8)x .

A tangent to the parabola y^2=8x makes an angle of 45^0 with the straight line y=3x+5. Then find one of the points of contact.

Find the equation of the straight line through the point (3,2) and the point of intersection of the lines 3x+y-5=0 and x+5y+3=0 . Also find the length of the protion of the line intercepted between the coordinate axes.

Let L_1 be a straight line passing through the origin and L_2 be the straight line x+y=1 . If the intercepts made by the circle x^2+y^2-x+3y=0 on L_1 and L_2 are equal then which of the following equations can represent L_1 ?

Find the equation of the straight line passing throught the point of intersection of the lines y=3x-1 and x-2y+3=0 and parallel to 3x-2y+7 =0.

Find the equation of the staight line passing through the point of intersection of the straight lines 2x+3y+4=0 and 3x+y-1=0 and inclined to the positive direction of the x - axis at an angle 135^(@) .

Find the equation of the straight line which passes through the point of intercestion of the straight lines 3x-4y+1=0 and 5x+y=0 and makes equal intercepts upon the coordinate axes .