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 ▸For a given function F(x), what does the graph of the function F(x+2) look like in comparrison to F(x)?
The point A lies on the curve with equation y = x^(1/2). The tangent to this curve at A is parallel to the line 3y-2x=1. Find an equation of this tangent at A. (PP JUNE 2015 AQA)
How would I differentiate y = 3xy + 2x^2 + x^2y^2 ?
The equation of a line is y=3x – x^3 a) Find the coordinates of the stationary points in this curve, stating whether they are maximum or minimum points b) Find the gradient of a tangent to that curve at the point (2,4)