Slope-Intercept Form

Flashcard
•
Mathematics
•
7th Grade
•
Hard
Standards-aligned
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15 questions
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1.
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 formula y = mx + b, where m represents the slope and b represents the y-intercept.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
2.
FLASHCARD QUESTION
Front
How do you identify the slope from the slope-intercept form?
Back
In the slope-intercept form y = mx + b, the slope is represented by the coefficient m of x.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
3.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis, represented by the value b in the slope-intercept form y = mx + b.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
4.
FLASHCARD QUESTION
Front
If a line has a slope of 2/3, what does this indicate about its steepness?
Back
A slope of 2/3 indicates that for every 3 units moved horizontally to the right, the line rises 2 units vertically, showing a moderate upward steepness.
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
How would you write the equation of a line with a slope of -1 and a y-intercept of 4?
Back
The equation would be y = -1x + 4 or y = -x + 4.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
6.
FLASHCARD QUESTION
Front
What is the significance of a negative slope in a linear equation?
Back
A negative slope indicates that as the x-value increases, the y-value decreases, resulting in a downward slant of the line.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
How can you convert the equation y = 3x - 5 into slope-intercept form?
Back
The equation y = 3x - 5 is already in slope-intercept form, where the slope is 3 and the y-intercept is -5.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
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