A straight line passes through the point (2,1) and has a gradient of 3. Find the co-ordinates where the line crosses the x and y axes
m=3
y1=1
x1=2
y-y1=m(x-x1)
y-1=3(x-2)
y-1=3x-6
y=3x-5
at the x-axis, y=0.
Sub in to find the x co-ordinate:
0=3x-5
x=5/3. Hence the co-ordinates at which the line crosses the x axis are (5/3,0)
at the y-axis, x=0.
‘Sub in to find the y co-ordinate
y=(3X0)-5
=-5. Hence the co-ordinates at which the line crosses the y-axis are (0,-5)
AC
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