A line runs between point A(5,9) and B(11,1). Find the equation of the line. Point C lies on the line between A and B. The line with equation 2y=3x+12 also crosses through point C. Find the x coordinate of Point C.

For the first part it would be a good idea to sketch out the graph. Then using the formula 'change in y/change in x' find the gradient of the line (-4/3). You can then either use the formula y=mx+c and put in one of the points and gradient to find c or use the formula y-y1=m(x-x1) with one of the points. The equation of the line is =-(4/3)x + (47/3)

For the second part it again might be helpful to add to the sketch. Use simultaneous equations set the equations equal to one another and solve for x=58/17

AT
Answered by Amelia T. Maths tutor

2747 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

X=4x^2 + 5x^7 - sin(3x) find dy/dx


y = 2ln(2x + 5) – 3x/2 , x > –2.5 find an equation to the normal of the curve when x = -2


What is the integral of sin(3x) cos(5x)?


a) Solve the following equation by completing the square: x^(2)+ 6x + 1= 0. b) Solve the following equation by factorisation: x^(2) - 4x - 5 = 0 c) Solve the following quadratic inequality: x^(2) - 4x - 5 < 0 (hint use your answer to part b)


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences