Show that the lines y-5x=2 and 6y-30x=36 are parallel
Rearrange both equations so that both are in the form y= something. Move the x terms to the right of both equations. y=5x+2 6y=30x+36 Factorise second equation so that common factor of 6 is shown. 6y=6(5x+6)Divide second equation through by 6 so that the second equation has been simplified. y=5x+6Show that 5x is common to both equations. Realise that 5 is the gradient of both lines. Gradients are equal and y-intercept is different so lines are parallel
MB
Related Maths GCSE answers
All answers ▸f(x) = 2x + c, g(x) = cx + 5, fg(x) = 6x + d. c and d are constants. Work out the value of d. 3 marks.
A sequence starts with the following terms... 2, 8, 14, 20... find the nth term
What is (x-5)^2
A straight line passes through the points (-2, 4) and (1, 10). What is (a) the gradient of the line, (b) the y-intercept of the line and (c) the equation of the line?