Big Points What is the equation of a horizontal line that passes through the point (4, -5)?
Question 2 options:
y = 4
y = -4
y = 5
y = -5

y = -5

Step-by-step explanation:

The coordinate point is in the format (x, y)

Therefore, the y-value of (4, -5) is -5

So the equation of the horizontal line is therefore y = -5

A horizontal line at point (4,-5) would need to pass through the The y value of the given point.

y = -5

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°