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
Related Maths A Level answers
All answers ▸Given that y = (sin(6x))(sec(2x) ), find dy/dx
Find the intergal of 2x^5 -1/(4x^3) -5 giving each term in its simplest form.
Take the polynomial p(x)=x^4+x^3+2x^2+4x-8, use the factor theorem to write p(x) as two linear factors and an irreducible quadratic. An irreducible quadratic is a quadratic that can not be factorised.
Prove the identity: (cos θ + sin θ)/(cosθ-sinθ) ≡ sec 2θ + tan 2θ