Question

Line A has a slope of 2 and passes through the point (3, 15).

Line B has a slope of 2 and passes through the point (4, 17).

Which of the following statements is true about the system of equations represented by line A
and line B?

A.The system of equations has no real solutions.
B.The system of equations has an infinite number of real solutions.
C.The system of equations has exactly one real solution.
D.The system of equations has exactly two real solutions.

Answer 1

@pooja195 @I_Ask_Alot @Hero @SamsungFanBoy @Lexi_Loves @Callisto @Michele_Laino @Beast-Mode

Answer 2

First can you write the line equations?

Answer 3

how?

Answer 4

@AravindG

Answer 5

for example, in order to write the equation of both lines, we can apply the subsequent equation:
\(y-y_0=m(x-x_0)\)

Answer 6

I havent learned that yet

Answer 7

If a line has slope m and passes through point (a,b)

Then its line equation is

y-b=m(x-a)

Answer 8

Never too late to learn!

Answer 9

okay so what do i do next

Answer 10

hint:
since the lines above have the same slope, then such lines are parallel.
What can you conclude?

Answer 11

i dont know im reallly confused

Answer 12

The general theory says that parallel lines, have the same slope

Answer 13

a solution of the system is the intersection point, if it exists, of the two lines above. Now parallel lines, according to the geometry of Euclid, have not any intersection point