*Showing that two lines are coincident - Help please.

[nukeman]

Homework Statement

First off, this is a homework question, but an example so answer is given. need help understanding it.

-Show that ht elines given by the equations below are coincident:
L: 2x - y = 5
M: -4x + 2y = -10

Solution: Write each equation in slope-intercept form:

L: 2x - y = 5
-y = -2x + 5
y = 2x - 5

M: -4x + 2y = -10
2y = 4x - 10
y = 2x - 5

Answer: The lines L and M have a slope of 2, and the same y intercept (0,5) so they are coincident.

I don't understand how they got that answer of slope of 2 and y intercept of (0,5)

?

Homework Equations

The Attempt at a Solution

Thanks everyone!

 

[Mark44]

Homework Statement

First off, this is a homework question, but an example so answer is given. need help understanding it.

-Show that ht elines given by the equations below are coincident:
L: 2x - y = 5
M: -4x + 2y = -10

Solution: Write each equation in slope-intercept form:

L: 2x - y = 5
-y = -2x + 5
y = 2x - 5

M: -4x + 2y = -10
2y = 4x - 10
y = 2x - 5

Answer: The lines L and M have a slope of 2, and the same y intercept (0,5) so they are coincident.

The y-intercept for these lines is NOT at (0, 5). Check your book again to see what it says.

I don't understand how they got that answer of slope of 2 and y intercept of (0,5)

There are several forms of the equation of a line.
What is the slope-intercept form?
What information does the slope-intercept form of the equation of a line contain?