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which statement explains how the lines 2x + y = 4 and y = one halfx + 4 are related?

they are parallel.
they are perpendicular.
they are the same line.
they are not related.

They are perpendicular.

LEts solve each equation for y to get slope intercept for y=mx+b.

Where m is the slope .

(1) 2x+y=4

y= -2x +4  we get equation (1) in the form y=mx+b.

so m1= -2

(2) y= x +4

This equation is already in the form y=mx+b.

so m2=

Perpendicular lines are lines that intersect at right angles. If you multiply the slopes of two perpendicular lines in the plane, you get −1 .

we multiply m1×m2

-2× = −1

the balance is found at the link

step-by-step explanation: