Probably the easiest way to do these is to convert them to slope intercept form by solving for y. When we have y=mx+b, we read off the slope m.
-5x + 2y = 10
Add 5x to both sides,
2y = 5x + 10
Divide both sides by 2,
y = (5/2) x + (10/2)
Obviously 10/2=5 but we don't care about that for this problem. We read off the slope as
Answer: 5/2, last choice
12 = 4x - 6y
Adding 6y and subtracting 12,
6y = 4x - 12
Dividing by 6,
y = (4/6) x - (12/6)
y = (2/3) x - 2
Answer: 2/3
Answer:
d
Step-by-step explanation:
trust me gang
Answer:
slope of the line is -0.5
y-intercept is 13
Explanation:
The general formula of the linear equation is:
y = mx + c
where m is the slope and c is the y-intercept
1- getting the slope:
We are given the two points:
(6,10) representing (x1 , y1)
(12,7) representing (x2 , y2)
The slope of the line will be calculated as follows:
m = (y2-y1) / (x2-x1) = (7-10) / (12-6) = -3/6 = -0.5
The equation of the line now becomes:
y = -0.5x + c
2- getting the value of the y-intercept:
To get the value of the y-intercept (c), we will use any of the given points, substitute in the equation of the line and solve for c. I will use the point (6,10) as follows:
y = -0.5x + c
10 = -0.5(6) + c
10 = -3 + c
c = 13
Based on the above, the equation of the line would be:
y = -0.5x + 13
Hope this helps :)
Answer:
36 = 2.25(x)
Number of slices = 16 slice
Step-by-step explanation:
Given:
Total amount spend = $36
Cost of each slice = $2.25 per slice
Number of slices = x
Find:
Equation
Computation:
Total amount spend = Cost of each slice × Number of slices
36 = 2.25(x)
x = 16
Number of slices = 16 slice
Answer:
Step-by-step explanation:
27 + D + 2A + C = 25 + D + B + C + A
subtract D, A, C on both sides
=> 27 + A = 25 + B
=> B = A + 2
3D + A + 29 = 2B + D + A + 27
=> 2D + 29 = 2B + 27
=> 2D = 2B + 27 - 29
=> D = B - 1
substitute:
27 + (B - 1) + 2(A + 2) + A = 2A + B + 30
substitute again:
2A + (A + 2) + 30 = 3A + 32
