Answer:
The equation of line through (-3,1) and slope 2 in slope-intercept form is: y = 2x+7
Step-by-step explanation:
The slope-intercept form of an equation is given by:

here m is the slope of the line and b is the y-intercept
Given

Putting m=2 in the general form

In order to find the y-intercept, the given point (-3,1) will be substituted in the equation
So

Putting the value of b

Hence,
The equation of line through (-3,1) and slope 2 in slope-intercept form is: y = 2x+7
Answer:
Perimeter = 18.7 units
Area = 13.5 units²
Step-by-step explanation:
Perimeter of ADEC = AD + DE + EC + AC
Length of AD = 3 units
By applying Pythagoras theorem in ΔDBE,
DE² = DB² + BE²
DE² = 3² + 3²
DE = √18
DE = 4.24 units
Length of EC = 3 units
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
AC² = 6² + 6²
AC = √72
AC = 8.49 units
Perimeter of ADEC = 3 + 4.24 + 3 + 8.49
= 18.73 units
≈ 18.7 units
Area of ADEC = Area of ΔABC - Area of ΔBDE
Area of ΔABC = 
= 
= 18 units²
Area of ΔBDE = 
= 
= 4.5 units²
Area of ADEC = 18 - 4.5
= 13.5 units²
c/7 = 6 1/7 ⇒ c = 43 ⇒ 43/7 = 6 1/7
Convert mixed fraction into a simple fraction
6 1/7 ⇒ (6 * 7 + 1)/7 = 43/7
c/7 = 43/7
proportionality:
a/b = c/d where cross products are equal : ad = bc
a = c
b = 7
c = 43
d = 7
<span>ad = bc ⇒ c7 = 7*43 ⇒ c7 = 301 ⇒ 7c/7 = 301/7 ⇒ c = 43</span>
Answer:all lines are straight
Step-by-step explanation: