Hello from MrBillDoesMath!
Answer:
Top line: y = (2/3)x + 2
Bottom line: y = (2/3)x -1
Discussion:
The graph provided is hard to read but I did the best I could.
The top line appears to pass through the points (0,2) and (-3,0)
For this line
m = change y /change x = (0-2)/(-3-0) = -2/-3 = +2/3. So
y = mx + b => y = (2/3) x+ b. As the line passes through (0,2) set x = 0, y= 2 in y = (2/3)x + b =>
2 = (2/3) 0 + b => b = 2
Therefore y = (2/3)x + 2
The bottom line appears to pass through the points (0,-1) and (3,1)
For this line
m = change y /change x = (1-(-1)) /(3-0) = +2/-3. So
y = mx + b => y = (2/3) x+ b. As the line passes through (0,-1) set x = 0, y= -1 in y = (2/3)x + b =>
-1 = (2/3) 0 + b => b = -1
Therefore y = (2/3)x + -1
Thank you,
MrB
Answer: x = -1
Step-by-step explanation:
Starting:
x-5(x+1)=3x+2
Simplify the left side:
-4x-5=3x+2
Move all the terms with an x to the left:
-7x-5=2
Move all the terms without an x to the right:
-7x=7
Divide both sides by -7:
x = -1
Answer:
y=3
Step-by-step explanation:
The y values are the same, so there cannot be a slope. The (mx) part of y=mx+b is cancelled out, and is left with the b. Since the y value is forever three, the y-intercept will be 3 as well.
Therefore, the slope-intercept equation is
y=3
The direct variation equation relates x and y is y = 
x
Step-by-step explanation:
Direct variation is when one variable is equal to a constant times another variable
If y varies directly with x, then
- y ∝ x
- y = k x is the equation of variation
- k is the constant of variation
∵ y varies directly with x
∵ y ∝ x
∴ y = k x
∵ y = 10 when x = 3
- Substitute these values in the equation above to find k
∴ 10 = k(3)
∴ 10 = 3 k
- Divide both sides by 3
∴ k =
∴ The equation of variation is y = x
The direct variation equation relates x and y is y = x
Learn more:
You can learn more about variation in brainly.com/question/10708697
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