slope intercept form word problems
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
+6
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
2.
FLASHCARD QUESTION
Front
How do you find the slope from two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear equation?
Back
The y-intercept is the value of y when x = 0; it represents the starting point of the line on the y-axis.
4.
FLASHCARD QUESTION
Front
In the equation y = 5x + 20, what does the number 5 represent?
Back
The number 5 represents the slope of the line, indicating the rate of change of y with respect to x.
Tags
CCSS.HSF.LE.B.5
5.
FLASHCARD QUESTION
Front
If a taxi charges $4.25 as a fixed fee and $2.75 per mile, what is the equation in slope-intercept form?
Back
The equation is y = 2.75x + 4.25.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
6.
FLASHCARD QUESTION
Front
What does the fixed fee in a linear cost model represent?
Back
The fixed fee is the initial cost incurred before any variable costs are added.
Tags
CCSS.HSF.LE.B.5
7.
FLASHCARD QUESTION
Front
How do you interpret the slope in a real-world context?
Back
The slope represents the rate of change; for example, in a cost model, it indicates how much the total cost increases per unit of the independent variable.
Tags
CCSS.8.EE.B.5
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