Which equation represents a line that is perpendicular to the line represented by 2x - y = 7 ?

1) y = -1/2x + 6
2) y= 1/2x + 6
3) -2x + 6
4) y = 2x + 6

Hello:
the equation is : y = ax+b
the slope is a : a×(2) = -1( perpendicular to a line with a slope of   2)            because :     2x-y =7     ..y=2x-7   )     

a = -1/2        y=(-1/2)x+b ( exemple :  1) y = -1/2x + 6 )

this is not the answer this is just a question. is this middle school math?

step-by-step explanation:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°