Answer:
<h2>
y = 0.25x + 2</h2>
Step-by-step explanation:

(0, 2) ⇒ x₁ = 0, y₁ = 2
(-4, 1) ⇒ x₂ = -4, y₂ = 1
So the slope:

The point-slope form of the equation of the line passing through point (x₀,y₀) and with slope m is: y - y₀ = m(x - x₀)
m = 0.25
(0, 2) ⇒ x₀ = 0, y₀ = 2
Therefore:
y - 2 = 0.25(x - 0)
y - 2 = 0.25x {add 2 to both sides}
y = 0.5x + 2 ← the slope-intercept form of the equation
Answer:

Step-by-step explanation:
Given



Required
Determine the length of FG
Since, F is on segment EG, then

Substitute values for EG, EF and FG

Collect Like Terms


Solve for x


Substitute 7 for x in 



-6(4x + 3) = 6(-4x - 3)
-6(4x) - 6(3) = 6(-4x) - 6(3)
-24x - 18 = -24x - 18
+ 24x + 24x
-18 = -18
It is infinite.
Answer:
The unknown number is 34.
Step-by-step explanation:
x+5=39
x=39-5
x=34