Question

The line y=px+2 is parallel to the line 2x+y=5. Determine the value of p

Answer 1

p = - 2

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + y = 5 ( subtract 2x from both sides )

y = - 2x + 5 ← in slope- intercept form

with slope m = - 2

Parallel lines have equal slopes

Thus for y = px + 2 to be parallel to y = - 2x + 5

Then p = - 2

Answer 2

-2

Explanation:

The line y=px+2 has slope p

The line 2x+y=5 can be rewritten as y =-2x+5 so it has slope -2.

Since the two are parallel then they must have the same slope. Hence p=-2.