<h3><u>y = 1/2x + 2 is the given equation in slope-intercept form.</u></h3>
3x - 6y = -12
Currently, this is in standard form.
In order to convert this to slope-intercept form, we need to isolate y.
Add 6y to both sides.
3x = -12 + 6y
Add 12 to both sides.
3x + 12 = 6y
Divide both sides by 6.
C because the line is going down, defending, but it has not hit the bottom line, which is 0 height.
Let
<span>A (3, 1)
B (0, 4)
C(3, 7)
D (6, 4)
step 1
find the distance AB
d=</span>√[(y2-y1)²+(x2-x1)²]------> dAB=√[(4-1)²+(0-3)²]-----> dAB=√18 cm
step 2
find the distance CD
d=√[(y2-y1)²+(x2-x1)²]------> dCD=√[(4-7)²+(6-3)²]-----> dCD=√18 cm
step 3
find the distance AD
d=√[(y2-y1)²+(x2-x1)²]------> dAD=√[(4-1)²+(6-3)²]-----> dAD=√18 cm
step 4
find the distance BC
d=√[(y2-y1)²+(x2-x1)²]------> dBC=√[(7-4)²+(3-0)²]-----> dBC=√18 cm
step 5
find slope AB and CD
m=(y2-y1)/(x2-x1)
mAB=-1
mCD=-1
AB and CD are parallel and AB=CD
step 6
find slope AD and BC
m=(y2-y1)/(x2-x1)
mAD=1
mBC=1
AD and BC are parallel and AD=BC
and
AB and AD are perpendicular
BC and CD are perpendicular
therefore
the shape is a square wit length side √18 cm
area of a square=b²
b is the length side of a square
area of a square=(√18)²------> 18 cm²
the answer is18 cm²see the attached figure
They would be perpendicular. hope this helps.
<span>Answer: 4*x+3=5+x
Explanation: four times a number means 4*x plus three means 4*x+3 is the same as which means = five plus the number which is 5+x </span>