Answer:
1. x = -4y ---> y = (-1/4)x
slope = -1/4. y-intercept = (0,0)
2. y = -2x + 4
3. y = (1/3)x - 1
Step-by-step explanation:
1. Re-write your equation so that x is on the right and y is on the left:
x = -4y ---> y = (-1/4)x
slope = -1/4. y-intercept = (0,0)
2. y-intercept = (0,4) ----> P1
x-intercrpt = (2,0) ----> P2
slope m = (y2 - y1) / (x2 - x1)
= (0 - 4)/(2 - 0)
= -2
therefore, y - y1 = mx - x1 ---> y - 4 = -2x
or y = -2x + 4
3. y-intercept = (0,-1)
x-intercept = (3,0)
m = (0 - (-1)) / (3 -0) = 1/3
y - (-1) = (1/3)x - 0 ---> y = (1/3)x - 1
Answer:
$1.19
Step-by-step explanation:
14.25/12=1.19
The equation of line parallel to given line is: y=4x-31
Step-by-step explanation:
Given equation of line is:
The equation of line is in slope-intercept form so the co-efficient of x is the slope of the line.
Let m1 be the slope of the given line
then
m1 = 4
Let m2 be the line that is parallel to given line
As we know that the slopes of parallel lines is equal so
m1=m2 = 4
The slope-intercept form of equation of line is:
Putting the value of slope
to find the value of b, putting (5,-11) in the equation
Putting the value of b
Hence,
The equation of line parallel to given line is: y=4x-31
Keywords: Equation of line, slope
0.76 19 divided by 27= 0.76
Answer: option J: 128 joules
Explanation:
1) From the table you try to find which relation best fits the data.
2) Your best first assumption is that the data may fit a proportional relation.
3) To prove that you find the ratio of Energy ouput to Amount of chemicals.
Doing that you find:
20 32 48 60
----- = ------- = ------ = ------ = 4
5 8 12 15
4) Then you have found a direct relation whose ratio is 4 joules / mol. So, you can apply that constant to the number of moles given:
Energy = 4 joules / mol × 32 mol = 128 joules
