Answer:
1) y=⅚x -2⅓
2) y=8/3x -5
Step-by-step explanation:
<u>Point-slope form:</u>
y=mx+c, where m is the gradient and c is the y-intercept.
Parallel lines have the same gradient.
Gradient of given line= 
Thus, m=⅚
Susbt. m=⅚ into the equation,
y= ⅚x +c
Since the line passes through the point (4, 1), (4, 1) must satisfy the equation. Thus, substitute (4, 1) into the equation to find c.
When x=4, y=1,
1= ⅚(4) +c

Thus the equation of the line is
.
The gradients of perpendicular lines= -1.
Gradient of given line= -⅜
-⅜(gradient of line)= -1
gradient of line
= -1 ÷ (-⅜)
= -1 ×(-8/3)
= 

When x=3, y=3,

Thus the equation of the line is
.
12.
Distribute the negative
2x - 5 - 9y + 8 + 16y
Simplify
2x + 7y + 3
13.
Square is 4 sides, all sides are equal
4 ( 4x + 3)
16x + 12
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20+7 + 30+3 is that what you meAN
That quadrilateral is a parallelogram. Parallelograms have 4 sides and the opposites side are parallel to each other.
Assuming BOD and AOC are straight lines.
Area of the rectangle = 4 x ΔAOD
Area of the rectangle = 4 x 10
Area of the rectangle = 40 unit²
Area of ΔABC = 1/2 x 40
Area of ΔABC = 20 unit²