Question

The following lines are ______

4x + 2y = 10 y = -2x + 15

Answer 1

Parallel

Explanation:

They have the same slope, but different y intercepts.

4x + 2y = 10 Subtract 4x from both sides

2y = -4x +10 Now divide both sides by 2

y = -2x + 5 Compare to y = -2x + 15. Both equations have the same slope or steepness, but they do not cross the y axis at the same place. The first equation given crosses the y axis at 5 and the second equation crosses the y axis at 15

Answer 2

Parallel

Explanation:

the equation of a line in slope- intercept form is

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

given

4x + 2y = 10 ( subtract 4x from both sides )

2y = - 4x + 10 ( divide through by 2 )

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

with slope m = - 2

and

y = - 2x + 15 ← is in slope- intercept form

with slope m = - 2

• parallel lines have equal slopes

then the 2 lines are parallel