Question

RE
You just looked at the graph of this system of equations.
Why will the lines never intersect?
y = -x +5
y=-x-3

Answer 1

Answer:

The lines never intersect because the lines are parallel.

Step-by-step explanation:

Given system of linear equations is:

y = -x +5

y=-x-3

The slope-intercept form of a line is:

$y = mx+b$

Here b is the y-intercept and the co-efficient of x is the slope of the line

Comparing the given equations with slope intercept form we get that the slope of both lines is -1

Both lines have the equal slope which means that the lines are parallel.

Parallel lines NEVER intersect each other.

Hence,

The lines never intersect because the lines are parallel.