A straight line makes an angle of 30^o with the positive x – axis and cut the y – axis at y =5. Find the equation of the straight line

Find the coordinate of the midpoint of x and y intercept of the line $2y=4x-8$

The graph of the function $y={{x}^{2}}+4$and the straight line PQ are drawn to solve the equation ${{x}^{2}}-3x+2=0$. What is the equation PQ

Find the value of P, if the line which passes through (– 1, –p) and (–2p, 2) is parallel to the line $2y+8x-17=0$

Find the value of ${{\alpha }^{2}}+{{\beta }^{2}}$ if $\alpha +\beta =2$and the distance between the points $(1,\alpha \text{ )and (}\beta ,1)$is 3 units

Find the coordinate of the midpoint of the line joining (3, –4) and (–1, 10)

What is the locus of points equidistant from the ax + by + c = 0 

If the lines $2y-kx+2=0$and $y+x-\tfrac{k}{2}=0$intersect at (1, – 2). Find the value of k

If the lines $3y=4x-1$and $qy=x+3$are parallel to each other, the value of q is

Calculate the distance between L ( –1, –6) and M(–3, –5)

What is the value of P if the gradient of the line joining ( – 1,p) and (p, 4) is $\tfrac{2}{3}$

Find the distance between the points $(\tfrac{1}{2},\tfrac{1}{2})$and $\text{(}-\tfrac{1}{2},-\tfrac{1}{2})$

Find the equation of a line parallel to y = –4x +2 passing through (2, 3)

Find the equation of a line perpendicular to the line 2y = 5x + 4 which passes (4, 2).

The distance between the point (4,3) and the intersection of y = 2x + 4 and y = 7 – x

If the mid point of PQ is (2,3) and the point P is (-2,1). Find the coordinate of the point

Find the mid point of S(–5, 4) and T(–3, –2)

Calculate the midpoint of the line segment $y-4x+3=0$ which lies between the x –axis and y–axis

Find the gradient of the line joining the points P(5,6) and Q(3,3)