# maths

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The line joining P(7,2) and Q(-2,3) cuts the x-axis at_____?
find x and y

• maths -

Since x increased by 9 when y decreased by 1, when y decreases 2 more to 0, x will increase 18 more, to 25.

algebraically,
the slope is -1/9, so

y = -1/9 x + c
since (7,2) is on the line,
2 = -7/9 + c
c = 25/9

y = -1/9 x + 25/9
when y=0,
-1/9 x + 25/9 = 0
x = 25

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