Find the gradient of the line on which the points (1,3) and (3,4) lie and find the y-coordinate of the line at x = 7.
The gradient is m = (y1-y0)/(x1-x0) = (4-3)/(3-1) = 1/2. So the equation of the line is y= x/2 + c where c is a constant. To find the constant, c, we will input one of the given coordinates (1,3). This shows 3 = 1/2 + c, so c= 5/2 or 2.5. Therefore, the equation of this line is y = x/2 + 5/2. So, when x=7, y = 7/2 + 5/2 = 6.
RL
Related Maths GCSE answers
All answers ▸Write 36 as a product of its prime factors giving the answer in index form.
Salika travels to school by train every day. The probability that her train will be late on any day is 0.3. If salika is late on 4 consecutive days she gets a detention. what is the probability she will get a detention during a week?
Factorise x^2+6x+5=0 by completing the square.
How to use the quadratic formula, using the following equation: x^2 + 3x - 4