Answer:

Step-by-step explanation:
Slope-intercept form: y = mx + b
Slope formula: 
Given points: (-6, 4), (6, 10)
(-6, 4) = (x1, y1)
(6, 10) = (x2, y2)
To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.
First, let's find the slope. To do this, input the given points into the slope formula:

Simplify:
10 - 4 = 6
6 - (-6) = 6 + 6 = 12

The slope is
.
To find the y-intercept, input the slope and one of the given points(in this example I'll use point (6, 10)) into the equation and solve for b:

10 = 3 + b
7 = b
The y-intercept is 7.
Now that we know the slope and the y-intercept, we can write the equation:

Based on the positions of angles AFC and EFC, the relationship between them is a Complimentary angle.
<h3>How are AFC and EFC related?</h3>
Angles AFC and EFC are complimentary angles because complimentary angles are angles that add up to 90 degrees.
Looking at the shape, Line FC divides the right angle to create angles AFC and EFC so when these are added together, they equal 90 degrees.
In conclusion, angles AFC and EFC are complimentary.
Find out more on complimentary angles at brainly.com/question/20728641.
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Linear functions have to have the same slope between any 2 points
find the slope betwen them
slope betwen 2 points (x1,y1) and (x2,y2) is
(y1-y1)/(x2-x1)
given
(1,12) and (3,9)
slope=(9-12)/(3-1)=-3/2
if we wanted to chek furthere, we check (3,9) and (5,6) and fnd that the slope is also -3/2
so
y=mx+b
m=slope
b=yint
y=-3/2x+b
find b
if x=1 then y=12
12=-3/2+b
add 3/2 both sides
12+3/2=b
13+1/2=b
26/2+1/2=b
27/2=b
y=-3/2x+27/2
try them
we have 2 x values
7 and 3
input them and see their outputs
for x=7
y=-3/2(7)+27/2
y=-21/2+27/2
y=6/2
y=3
(7,3) is a valid point
for x=3
hold a second, we already have a x=3
it is (3,9)
none of them
answer is (7,3)
We substitute in c using 9, it will be as follows:
5 ×[(-6×9)+4] = 5 × (-54+4) = 5 × (-50) = -250
The tree is 25 feet tall. Given the height of the stick and the shadow it cast, the angle formed by the sun and the stick's height can be obtained by taking the Inverse Tangent of 3/5. This is equal to 30.93. This angle is equal to the angle formed by the sun and the tree's height. Using the tangent formula, Tan (30.93)=tree's shadow (15 ft)/ height of the tree, giving the answer 25 feet.