Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange the given equations into this form
2x + y = 5 ( subtract 2x from both sides )
y = - 2x + 5 ← in slope- intercept form
3y = 9 - 6x ( divide all terms by 3 )
y = 3 - 2x = - 2x + 3 ← in slope- intercept form
We have
y = - 2x + 5 and y = - 2x + 3
Both equations have a slope m = - 2
The equations of lines with equal slopes are Parallel lines
