A line intercepts point A at (4,4) and point B (8,12). Find the gradient and the intercept of the line.
First, calculate the gradient of the line (m) using the equation using dy / dx.m = dy / dx = (y_2 - y_1) / (x_2 - x_1) = (12 - 4) / (8 - 4) = 8 / 4 = 2.As you now know the gradient of the line and points on the line, it is possible to substitute values in to the equation y = mx + c.For point A (4,4):y = mx + c 4 = 2 * 4 + c 4 = 8 + c4 - 8 = cc = -4Therefore, the equation of the line is:y = 2x -4
AF
Related Maths GCSE answers
All answers ▸Matt had 3 piles of coins, A, B and C. Altogether there was 72p. Pile B had twice as much as pile A. Pile C had three times as much as pile B.
Solve the simultaneous equations 2x + y = 7 and 3x - y = 8.
A ladder (length 314 cm) is leaning up against a wall. The length between the ladder and the wall is 1.54 m. At what angle is the ladder leaning up against the wall? Round your answer to 2 d.p.
Find the coordinates where the curve y=x^2+6x+5 crosses the x-axis.