Find the equation for the line parallel to the line x-2y=-5 containing point (0,0)

y = x

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 x - 2y = - 5 into this form

subtract x from both sides

- 2y = - x - 5 ( divide all terms by - 2 )

y = x + ← in slope-intercept form

with slope m =

• Parallel lines have equal slopes

Hence m of parallel line =

Since the line passes through (0, 0) ⇒ c = 0

y = x ← equation of line

Graph the inequality by finding the boundary line, then shading the appropriate area.

y

≤

3

x

−

2

Step-by-step explanation: