Slope and Y-Intercept

Flashcard
•
Mathematics
•
7th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of slope in a linear equation?
Back
The slope (m) of a linear equation represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is and the direction it goes (positive or negative).
Tags
CCSS.8.EE.B.5
2.
FLASHCARD QUESTION
Front
How do you find the y-intercept of a linear equation?
Back
The y-intercept (b) of a linear equation is found by setting the value of x to 0 in the equation and solving for y. It represents the point where the line crosses the y-axis.
3.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form of a linear equation is given by the equation 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
4.
FLASHCARD QUESTION
Front
What does a positive slope indicate about a linear relationship?
Back
A positive slope indicates that as the independent variable (x) increases, the dependent variable (y) also increases, showing a direct relationship.
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
What does a negative slope indicate about a linear relationship?
Back
A negative slope indicates that as the independent variable (x) increases, the dependent variable (y) decreases, showing an inverse relationship.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a graph?
Back
The y-intercept is significant because it shows the starting value of the dependent variable (y) when the independent variable (x) is zero, providing context for the linear relationship.
Tags
CCSS.HSF.LE.B.5
7.
FLASHCARD QUESTION
Front
How can you determine the slope from two points on a line?
Back
The slope (m) can be determined using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
Tags
CCSS.8.EE.B.5
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