Answer:
An equation parallel to 4x + 5y = 19 would be y = -4/5x +12.
An equation perpendicular to 4x + 5y = 19 would be y = 5/4x + 10.
Step-by-step explanation:
The equation given represents a linear equation in Standard Form (Ax + By = C). Lines that are parallel to each other go the same direction and don't touch, so their slopes must be the same. However, lines that are perpendicular go in opposite directions and intersect, so their slopes must be the direct opposite of each other. In order to find the slope, you must first convert from the Standard Form given to Slope Intercept Form (y = mx +b). When you solve the given equation for 'y', you get: y = -4/5x + 19, where the slope = -4/5. To make a parallel equation, simply keep the same slope and choose a different y-intercept ('b'). To make a perpendicular equation, take the direct opposide of your slope 5/4 (positive) and choose a different y-intercept.
11.
slope intercept is solve for y
12x+y=-5
y=-12x-5
12. y-y1=m(x-x1)
a point is (x1,y1) and slope is m
y+2=(-2/3)(x+3)
y+2=(-2/3)x-2
y=(-2/3)x+0
13.
slope find
(-1-2)/(-5-0)
-3/-5=3/5
given (0,2)
yint is 2
y=mx+b
b=yint
y=(3/5)x+2
14.
initially (x=0) y intercept is 9
speed is slope is -6 because getting close to home
y=-6x+9
a. standard form is solve for constant
6x+y=9
b. y intercpet is 9 that is how far you are away from home at start
c. x intercept is where y=0 or when you reach home
that is
0=-6x+9
6x=9
x=3/2
at 3/2 hours or 1.5hours
Number 15 is no solution.
Number 27 is that x has to be between -2 or 2.
This could be explained as -2≤x≤2
Answer:
I think the answers are 19, 17 and 76.
I am not sure...
