Rearrange "(6y-30)/5 = 2x+(12/5)" so it reads "y = ... ". Sketch this line and label where it meets the axes.

  • multiply everything by 5, so you get 6y - 30 = 10x + 12 - add 30 to both sides, so you get 6y = 10x + 42 - divide everything by 6, so you have y = (10/6)x + (42/6) - simplify, y= (5/3)x + 7 - this is of the form, y = mx + c, so draw a line with a gradient of 5/3 and a y intercept of 7 - so at the y axis, when x = 0, y= 7 - at the x axis when y = 0, x = 5/3 - draw a line connecting these points
TH
Answered by Tegan H. Maths tutor

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