SOLUTION: Dear Math Tutor Please help me with: The line l passes through the points A(4,8) and B(10,26). Show that and equation for l1 is y=3x-4. The line l1 intersects the line l2, whi

Algebra ->  Graphs -> SOLUTION: Dear Math Tutor Please help me with: The line l passes through the points A(4,8) and B(10,26). Show that and equation for l1 is y=3x-4. The line l1 intersects the line l2, whi      Log On


   

Question 879427: Dear Math Tutor
Please help me with: The line l passes through the points A(4,8) and B(10,26). Show that and equation for l1 is y=3x-4.
The line l1 intersects the line l2, which has an equation y=5x+4, at C. Find the coordinates of C.
With gratitude,
Nat
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

A( 4,8) and 

B(10,26). m = -24/-8 = 3  m+=%28y%5B1%5D+-+y%5B2%5D%29%2F%28x%5B1%5D+-+x%5B2%5D+%29

y - 8 = 3(x-4)  ***Using point-slope form, y+-+y%5B1%5D+=+m%28x+-+x%5B1%5D%29P(4,8)

  y = 3x - 4

3x-4 = 5x+4  |Finding point of intersection

 -8 = 2x

 -4 = x  and y = -16 y+=+3%28-4%29+-+4 Use either equation: y = 3x-4 0r y = 5x+4)

C(-4,-16)