L is a line parallel to 4x-2y=8. Find the equation of the line if L passes through (4,(38/3))
Since L is parallel to 4x-2y=8, it means that both lines have the same gradient. (Reminder: in y=mx+c, m is the gradient)4x-2y=8, therefore 2y=4x-8, and dividing both sides by 2 results to y=2x-4. Therefore, the gradient of both lines is 2.Hence, line L is in the form y=2x+c. Substituting then our coordinates (4,(38/3)) in the equation of line L will give us the y intercept.(38/3)=2(4)+cso c=14/3. Therefore equation of Line L is y=2x+14/3
DI
Related Maths GCSE answers
All answers ▸Solve the inequality x^2 + 4x ≥ 77
I have invested £10000 for 5 years and I how have £12763 in my account. What is my banks interest rate?
There are only red , blue and purple counters in a bag. The ratio of the number of red counters to the number of blue counters is 3 : 17. If a counter is taken randomly the probability that it is purple is 0.2 Work out the probability for it to be red.
Solve the simultaneous equations: 1) 4x - 2y = 28, 2) 4y - 3x = -36.