As we go from (-6,6) to (9,1), x increases by 15 and y decreases by 5. Thus, the slope of this line is m = rise / run = -5/15, or m = -1/3.
Point-slope form: y-6 = (-1/3)(x+6), using data from (-6,6).
Slope-intercept form: starting with y = mx + b, substit. -6 for x, 6 for y and -1/3 for m:
6 = (-1/3)(-6) + b, or
6 = 2 + b. Then b = 4, and the equation in slope-intercept form is
y = (-1/3)x + 4.
Answer:
<em>Width</em>: 3y²
<em>Length</em>: 4 + 7y³
Step-by-step explanation:
The area of the rectangle is the length multiplied by the width. For the area given: 12y² + 21y⁵
12y² = 3y²*4
21y⁵ = 3y²*7y³
So, the greatest common monomial factor is 3y², which is the width.
The area is 3y²*(4 + 7y³), the first term is the width, the other must be the length: 4 + 7y³.
Answer:
13 - 6 x
Step-by-step explanation: