How do you find the y-intercept from the equation $$y = -2x + 4$$ ?

The y-intercept is the value of $$b$$ in the equation, which is $$4$$ .

What is the slope of the line represented by the equation $$y = 2x + 3$$ ?

The slope of the line is $$2$$ .

If a line passes through the points (2, -4) and (3, 1), what is the slope?

The slope is calculated as $$m = \frac{{1 - (-4)}}{{3 - 2}} = 5$$ .

What does a negative slope indicate about a line?

A negative slope indicates that the line is decreasing, meaning as the x-value increases, the y-value decreases.

What is the standard form of a linear equation?

The standard form of a linear equation is $$Ax + By = C$$ , where A, B, and C are integers.

How can you determine if two lines are parallel?

Two lines are parallel if they have the same slope but different y-intercepts.

What is the difference between a function and a relation?

A function is a relation where each input (x-value) has exactly one output (y-value). A relation can have multiple outputs for a single input.

What is the significance of the slope-intercept form of a linear equation?

The slope-intercept form $$y = mx + b$$ makes it easy to identify the slope and y-intercept of the line.

How do you graph a linear equation?

To graph a linear equation, find the y-intercept, plot it on the graph, use the slope to find another point, and draw a straight line through the points.

Flashcard

•

Mathematics

•

10th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.B.5, 8.EE.B.6, 8.F.B.4

Standards-aligned

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15 questions

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FLASHCARD QUESTION

Front

What is a linear equation?

Back

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of the y-value with respect to the x-value. It indicates how steep the line is.

Tags

CCSS.8.EE.B.5

FLASHCARD QUESTION

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Tags

CCSS.8.EE.B.5

FLASHCARD QUESTION

Front

What is the y-intercept of a linear equation?

Back

FLASHCARD QUESTION

Front

What does a zero slope indicate about a line?

Back

A zero slope indicates that the line is horizontal, meaning there is no change in the y-value as the x-value changes.

Tags

CCSS.8.EE.B.5

FLASHCARD QUESTION

Front

What is the x-intercept of a linear equation?

Back

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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