A straight line passes through the point (2,1) and has a gradient of 3. Find the co-ordinates of the points where this line intersects the axes

M=3

y1=1

x1=2

y-y1=m(x=x1)

y-1=3(x-2)

y-1=3(x-2)

y-1=3x-6

y=3x-6

at the x axis, y=0. 

‘Sub in to find the x co-rdinate:

0=3x-5

3x=5

x=5/3

(5/3, 0)

at the y axis, x=0

y=(0X3)-5

y=-5

(0,-5)