What is the slope of the line that passes through the points (0,-7) and (-4,3)

Step-by-step explanation:

To find slope you have to take y2-y1 over x2-x1

y2=your second y poiny

y1=first y point

x2=second x point

x1=first x point

Since it is minus a negative you get to change it to a plus sign, because they cancel each other out.

3 + 7  

-4-0

10/-4

This isn't quite simplified, so you find a common factor for the numerator (top number) and the denominator (bottom number). You should note the number has to go into both numbers, not just one. The largest common factor would be 2 in this case.

10/2=5

-4/2=-2  

Now your simplified answer would be 5/2  

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°

c - they will have the same distribution

step-by-step explanation:

this is the only one that could make sense. : )