# analytic geometry … 2 problems

1st problem : find the equation of the straight line having slope m passing through the point (a,0) . what are the coordinates of the point of intersection of this line with the y-axis ?
2nd problem : find an equation of the line passing passing through the point (1,5) with a negative slope and forms with the coordinates axis a triangle with area ten square units . please i want answers with steps

Thank you :)

-
I believe almost identical questions have been asked here $n + 1$ times. – glebovg Nov 9 '12 at 5:32
It is much easier to google: equation of a line. – glebovg Nov 9 '12 at 5:33
So, what do you know about equations of lines? Hard to answer the questions in a helpful way without knowing that. – Gerry Myerson Nov 9 '12 at 5:35
i have only 15 years old and i have try to solve them more than 5 times ! – ibrahim Nov 9 '12 at 5:36
OP has gone to ground, but I find the second question shows some imagination, so I'll outline an answer. A line through $(1,5)$ has equation $$y-5=m(x-1)$$ for some $m$. When $x=0$, $y=5-m$; when $y=0$, $x=1-(5/m)$. The condition on the area of the triangle leads to $$(1/2)(5-m)(1-(5/m))=10$$ Clearing fractions, this is $$(5-m)(m-5)=20m$$ and from here it should be routine to solve.