Deedra has the equations for lines A and B. When she solved for the point where these two lines intersect, she ended up with the

Question

zvonat [6]

2 years ago

15

Deedra has the equations for lines A and B. When she solved for the point where these two lines intersect, she ended up with the

equation 3 = 7. What must be true about the two lines?

Mathematics

2 answers:

Sliva [168] · Answer 1 · 2022-03-14T21:16:47+03:00

Sliva [168]2 years ago

6 0

Answer: they are parallel to one another

KonstantinChe [14] · Answer 2 · 2022-03-14T19:19:35+03:00

we can take a peek at two of those lines hmmm say y = 5x + 3 and y = 5x + 7.

let's notice, those two equations for those lines are in slope-intercept form, so let's solve the system.

since y = y then

5x + 3 = 5x + 7

3 = 7 what the?

well, notice, both lines have the same slope of 5, but different y-intercept, one has it at y = 3 and the other at y = 7, what does that mean?

it means that both lines are parallel to each other, one may well be above the other, but both are parallel, and since a solution to the system is where their graphs intersect, well, parallel lines never touch, so a system with two parallel lines has no solutions.