(a)Show that the lines y=3x+7 and 2y–6x=8 are parallel. [3 marks] (b) Is the point (–5, –6) above, below or on the line y = 3x + 7 ? Do not use a graphical method. [2 marks] [Total 5 marks]

(a) The gradient of y=3x+7 is 3 and rearrange 2y–6x=8 to y=3x+4 to show the gradient of 2y–6x=8 is also(6÷2=) 3. Alternatively, choose a value for x and find y value for both lines (e.g. (0, 7) and (0, 4)); then choose a different value for x and find y value for both lines again (e.g. (1, 10) and (1, 7)); state that the y values are a constant distance apart so they are parallel lines.(b)Substitute -5 in the equation e.g. 3 × –5 + 7 = –8 to get the point (–5, –8). Using y co-ordinates -6 is higher than -8 so (-5,-6) is above the line.

Answered by Iman I. Maths tutor

5858 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

The equation of a curve is y=(x+3)^2 +5, what are the co-ordinates of the curve's turning point?


Do I need to write down all of my working out?


Solve 5x-13 > 3x-7 for x.


Solve the simultaneous equation: 3x+2y=8 and 2x+5y=-2


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences