What is the y-intercept of the equation $$2x - 5y = 35$$ ?

The y-intercept is $$(0, -7)$$ .

Find the slope and y-intercept of the equation $$6x - 2y = 18$$ .

Slope = $$3$$ , y-intercept = $$-9$$ .

What are the x and y intercepts of the equation $$4x - 5y = 40$$ ?

x-intercept is $$10$$ , y-intercept is $$-8$$ .

What does it mean if a line has a positive slope?

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

What does it mean if a line has a negative slope?

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

How can you determine if two lines are parallel?

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

How can you determine if two lines are perpendicular?

Two lines are perpendicular if the product of their slopes is -1.

What is the significance of the coefficients A and B in the standard form of a linear equation?

The coefficients A and B determine the slope of the line and its orientation in the coordinate plane.

Flashcard

•

Mathematics

•

8th Grade

•

Practice Problem

•

Hard

•

CCSS

8.EE.B.6, 8.EE.B.5, 8.F.A.3

Standards-aligned

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FLASHCARD QUESTION

Front

What is the standard form of a linear equation?

Back

FLASHCARD QUESTION

Front

How do you find the x-intercept of a linear equation?

Back

FLASHCARD QUESTION

Front

How do you find the y-intercept of a linear equation?

Back

FLASHCARD QUESTION

Front

What are intercepts in a graph?

Back

Intercepts are points where the graph crosses the x-axis (x-intercept) and y-axis (y-intercept).

FLASHCARD QUESTION

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

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