Thread: Co-ordinate geometry question.....

Hey im new, stuck on this question anyone help me?

(A) Find an equation of the line l which passes through the points A(1,0) and B(5,6)?...( I got y = 3/2 x + 3/2)???)

The line m with the equation 2x + 3y = 15 meets l at the point C

(B) Determine the coordinates of C

THe point P lies on m and has x co-ordinate of -3

(c) Show by caclulation PA = PB

Thanks in advanced

Originally Posted by cougar

Hey im new, stuck on this question anyone help me?

(A) Find an equation of the line l which passes through the points A(1,0) and B(5,6)?...( I got y = 3/2 x + 3/2)???)

no, it should be

The line m with the equation 2x + 3y = 15 meets l at the point C

(B) Determine the coordinates of C

just set the lines equal to each other

you have and

so,

now solve for and then you can solve for and then you have your point

THe point P lies on m and has x co-ordinate of -3

(c) Show by caclulation PA = PB

Thanks in advanced

first, find the corresponding y-coordinate for x = -3 on the line m

you can use the distance formula to find the length PA and the length PB and show they are equal to each other.