99 points. what is the slope-intercept form of the function described by this table?
x 1 2 3 4
y 8 13 18 23
enter your answer in the boxes. y = x +

y = 5x+3

Step-by-step explanation:

To find the slope, we need to points

(1,8) and (2,13)

Slope is given by

m = (y2-y1)/(x2-x1)

  = (13-8)/(2-1)

  = 5/1

The slope is 5

We can use the point slope form for an equation

y-y1 = m(x-x1)

y-8 = 5(x-1)

Distribute the 5

y-8 = 5x-5

Add 8 to each side

y-8+8 = 5x-5+8

y = 5x+3

This is in slope intercept form

Use two of the sets of values in the table:

lets use the first set and the last set:

(1,8) and (4,23)

First find the slope, which is the change in Y over the change in X:

Slope = 23 - 8 / 4-1 = 15/3 = 5

The slope is 5.

Now we can find the equation of the line, using the equation of a line y -y1 = m(x-x1)

m is the slope, y1 would be the first y value, which is 8 and x1 is the first x value which is 1

so now we have y-8  = 5(x-1)

Simplify the right side"

y-8 = 5x-5

Add 8 to both sides:

y = 5x -5 +8

Simplify:

y =5x +3

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°