How to determine whether the graphs of the two equations are parallel lines, perpendicular lines or neither? Example y=x+4
y=x-3

Question

How to determine whether the graphs of the two equations are parallel lines, perpendicular lines or neither? Example  y=x+4
                                                                    y=x-3

anonymous · Answer

Firstly, line equations are of the form $y=mx+c$

Parallel lines have the same slope (i.e. $m_1 = m_2$)

Perpendicular lines have inverse negative slopes (i.e. $m_1 = -\frac{1}{m_2}$)

anonymous · Answer

Kindly give example on this or kindly show the solution please

anonymous · Answer

Take for example, the line $y=3x+5$. The slope of this line is 3 (the coefficient of x).

A line parallel to this will have the same slope, i.e. be in the form $y = 3x + c$. Note that they have the same x coefficient.

A line parallel to this will have the inverse negative coefficient, i.e. be in the form $y = -\frac{1}{3}x + c$. Note that the coefficient of x is the negative inverse of 3 (i.e. $-\frac{1}{3}$).

anonymous · Answer

y=x+4
y=x-3       
Is this parallel lines, perpendicular lines or neither? kindly show the solutions and explanation on this please

anonymous · Answer

What is the coefficient of x in both of those cases?

anonymous · Answer

no coefficient

anonymous · Answer

What do you get if you add x + x?

What if you add 2x + x?

3x + x?