Respuesta :
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.
The two lines are parallel.
We have a girl Deedra who 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.
We have to investigate what it tells about the nature of lines.
What is the slope - intercept form of equation of line?
The slope intercept form of an equation of line is -
y = mx + c
Let's assume we have two lines with their equations be -
[tex]y_{1} = m_{1} x_{1} + c\\y_{2} = m_{2} x_{2} + d[/tex]
To find the intersecting points of these two lines, then -
[tex]y_{1} =y_{2} \\x_{1} =x_{2}[/tex]
Therefore -
[tex]m_{1} x_{1} +c =m_{2} x_{2} +d\\[/tex]
Now, in the question she found out that 3 =7 which is same c = d. To fulfill this condition, the slope of these two lines should be equal. Hence, we can conclude that the two lines are parallel.
To solve more questions on equation of lines, visit the link below - https://brainly.com/question/2419445
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