Answer: y=-5x-16
Step-by-step explanation:
Since we are given the slope and the point, we can plug in the point to solve for y-intercept.
4=-5(-4)+b [multiply]
4=20+b [subtract both sides by 20]
b=-16
Now, we know the equation is y=-5x-16.
Answer:
Slope = -1
Step-by-step explanation:
x+y = 14
First convert the equation into slope-intercept form
y = -x+14
Parallel lines have the same slope, so its -1.
Answer:
9
Step-by-step explanation:
This is because of the distributive property.
The outside number is multiplied by each inside number.
So, if it's 9(5x+8y), then do 9*5x which is 45x and 9*8y which is 72y.
Recall that the equation to find the perimeter of a rectangle is 2(L + w)
Since we know the length, we can make an equation:
2(3 + w) = 12
Divide both sides by 2:
(3 + w) = 6
w = 3
Now that we know both length and width, we simply have to find their product to solve for area:
a = L * w
a = 3 * 3
a = 9
The area of the rectangle is 9 cm^2.