A mobile phone is put to use when the battery power is 100%. The percent of battery power ‘y’ (in decimal) remaining after using the mobile phone for x hours is assumed as y  = − 0.25 x + 1

Draw a graph of the equation.

Find the coordinates at the points of trisection (i.e. points dividing in three equal parts) of the line segment joining the points A(2, -2) and B(-7, 4).

If the points A(6, 1), B(8, 2), C(9, 4) and D(P, 3) are the vertices of a parallelogram, taken in order. Find the value of P.

Find the area of a triangle vertices are(1, -1), (-4, 6) and (-3, -5).

Find a relation between x and y if the points (x, y) (1, 2) and (7, 0) are collinear.

Find the area of the quadrilateral whose vertices, taken in order, are (-4, -2), (-3, -5), (3, -2) and (2, 3).

Find the area of the triangle formed by the points P(-1, 5, 3), Q(6, -2) and R(-3, 4).

Find the value of k if the points A(2, 3), B(4, k) and (6, -3) are collinear.

Find the area of the triangle formed by the points (a, c + a), (a, c) and (- a, c - a).

Find the value of p if the points (p + 1, 1),(2p + 1, 3) and (2p + 2, 2p) are collinear.

Prove that the points A (0, - 1), B (2, 1) and C(- 4,3) form a right angled triangle.

Show that the points A (- 2,0), B(2,4) , C (4, 1) and D (0, - 3) form a parallelogram.

The Fahrenheit temperature F and absolute temperature K satisfy a linear equation given that E = 273 when F = 32 and that K = 373 when F = 212. Express K in terms of F and find the value of F when K = 0.

If the intercept of a line between the co-ordinate axes is divided by point (- 5, 4) in the ratio 1 : 2, then find the equation of a line.

Find the equations of the straight lines which pass through (4, 3) and are respectively parallel and perpendicular to the x-axis.