A is the point with coordinates (5, 9) B is the point with coordinates (d, 15) The gradient of the line AB is 3 Work out the value of d.
A straight line equation is defined as y=mx+c where m is the gradient and c is the intercept. Since the gradient is already said to be 3 we can substitute this in to mean the equation for AB is y=3x+c. Since we know point A we can substitute the values for x and y in to solve for c.9=3(5)+c9=15+cc= -6y=3x-6Now we have the equation of the line we can sub in point B to find what d is.15=3(d)-621=3dd=7
TA
Related Maths GCSE answers
All answers ▸There are 7 white socks and 4 black socks. 2 are taken at random without replacement. What is the probablity that 2 socks of the same colour are taken?
Solve the equation x^3-5x^2+7x-3=0
A line intercepts point A at (4,4) and point B (8,12). Find the gradient and the intercept of the line.
We are given a right angled triangle with one side of unknown length. The shortest side is 3cm long, and the longest side is 5cm long. Calculate the remaining side.