The standard linear equation is y=mx+b
To be perpendicular the slope (m) has to be a negative.
reciprocal (2 and -1/2)
To be parallel the slope (m) has to be equal.
So put the equations in standard for
First you get:
3y=-9x+12 and
4y=-12x+7
You then have to divide the terms in front of the y's. You have to divide.
You get:
y=-3x+4 and
y=-3x+7/4
The -3's are the slopes (m)
-3=-3 so:
The lines are parallel
Answer:
Jada is moving faster
Jade goes 10 miles in one hour
Han goes 2.5 miles in one hour
Step-by-step explanation:
Jada is 2miles/12 minutes=2(5) miles in 12(5) minutes
Jade goes 10 miles in 60 minutes (or one hour)
Han is 1 mile/24 minutes=1(2.5) miles in 24(2.5) minutes
Han goes 2.5 miles in 60 minutes (or one hour)
Jada is moving faster
Answer:
D. y = x - 3
Step-by-step explanation:
First, find the slope (m) of the line it is perpendicular to using the points of the line, (4, 2) and (-1, 7):
Thus, the slope (m) of the line that is perpendicular to the line that runs through (4, 2) and (-1, 7) would be the negative reciprocal of -1.
The slope (m) if the line that is perpendicular to the other line = 1
Thus, substitute m = 1 and (a, b) = (1, -2) into y - b = m(x - a)
y - (-2) = 1(x - 1)
y + 2 = x - 1
Subtract 2 from both sides
y = x - 1 - 2
y = x - 3
Reorder terms so constants are on the left
(3x + 7) 8x^2
8(3x +7)x^2
Distribute
Answer: 24x^3+56x^2