Question 26: write the equation that describes the line with slope=5 and y-intercept =8 in slope intercept form.example: y=mx+b
1 answer:
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Answer:
The rate of change is 0.75 gallons per minute
Step-by-step explanation:
The rate of change of the linear relation is represented by the slope of the line which represents this relation
The rule of the slope of a line is
m = Δy/Δx, where
- Δy is the vertical change
- Δx is the horizontal change
From the given graph
∵ The line passes through points (0, 0) and (4, 3)
∴ Δx = 4 - 0 = 4
∴ Δy = 3 - 0 = 3
→ Use the rule of the slope above to find the slope of the line
∴ m = = 0.75
∵ The x-axis represents the time in minutes
∵ The y-axis represents the amount in gallons
∵ m represents the rate of change
∴ The rate of change = 0.75 gallons per minute
My answer-
Simplifying 5x + -14 = 8x + 4
Reorder the terms: -14 + 5x = 8x + 4 Reorder the terms: -14 + 5x = 4 + 8x
Solving -14 + 5x = 4 + 8x Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -14 + 5x + -8x = 4 + 8x + -8x
Combine like terms: 5x + -8x = -3x -14 + -3x = 4 + 8x + -8x
Combine like terms: 8x + -8x = 0 -14 + -3x = 4 + 0 -14 + -3x = 4 Add '14' to
each side of the equation. -14 + 14 + -3x = 4 + 14
Combine like terms: -14 + 14 = 0 0 + -3x = 4 + 14 -3x = 4 + 14
Combine like terms: 4 + 14 = 18 -3x = 18 <span>
Divide each side by '-3'. x = -6
Simplifying x = -6
If you need anything else on brainly let me know :)</span>
Simplifying 5x + -14 = 8x + 4
Reorder the terms: -14 + 5x = 8x + 4 Reorder the terms: -14 + 5x = 4 + 8x
Solving -14 + 5x = 4 + 8x Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -14 + 5x + -8x = 4 + 8x + -8x
Combine like terms: 5x + -8x = -3x -14 + -3x = 4 + 8x + -8x
Combine like terms: 8x + -8x = 0 -14 + -3x = 4 + 0 -14 + -3x = 4 Add '14' to
each side of the equation. -14 + 14 + -3x = 4 + 14
Combine like terms: -14 + 14 = 0 0 + -3x = 4 + 14 -3x = 4 + 14
Combine like terms: 4 + 14 = 18 -3x = 18 <span>
Divide each side by '-3'. x = -6
Simplifying x = -6
If you need anything else on brainly let me know :)</span>