what is the equation, in slope-intercept form, of the line that contains the points (-1, 8) and (4, 3)?

a. y = -x + 7
b. y = x - 7
c. y = x - 1
d. y = 7x - 1

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

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

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, 8) and (x₂, y₂ ) = (4, 3)

m = = = - 1, thus

y = - x + c ← is the partial equation of the line

To find c substitute either of the 2 points into the partial equation

Using (4, 3), then

3 = - 4 + c ⇒ c = 3 + 4 = 7

y = - x + 7 → A

A.y = -x + 7

Step-by-step explanation:

First, find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

Now, plug the coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done alot faster. It does not matter which ordered pair you choose:

3 = -1[4] + b

-4

7 = b

__________________________________________________________

8 = -1[-1] + b

1

7 = b

** You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.

I am joyous to assist you anytime.

12 servings. 4 times 3= 12

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°