How do you identify the slope from the equation $$y = 3x + 1$$ ?

The slope is the coefficient of $$x$$ , which is $$3$$ .

What does the y-intercept represent in the equation $$y = 3x + 1$$ ?

The y-intercept is the value of $$y$$ when $$x = 0$$ , which is $$1$$ in this case.

How can you determine the y-intercept from the equation $$y = -x - 7$$ ?

The y-intercept is $$-7$$ , which is the constant term in the equation.

What does it mean if two lines are parallel in terms of their slopes?

Two lines are parallel if they have the same slope.

How do you convert the equation $$y = -2x + 5$$ into slope-intercept form?

The equation is already in slope-intercept form, where the slope is $$-2$$ and the y-intercept is $$5$$ .

What is the significance of the slope in a real-world context?

The slope represents the rate of change between two variables, such as speed or cost per item.

If the slope of a line is zero, what does that indicate about the line?

A slope of zero indicates a horizontal line.

What is the relationship between the slopes of perpendicular lines?

The slopes of perpendicular lines are negative reciprocals of each other.

How can you graph the equation $$y = 3x + 1$$ ?

Start at the y-intercept (0,1) and use the slope (3) to rise 3 units and run 1 unit to the right.

3.5 Graphing Slope Intercept Form

3.5 graphing slope intercept form

Flashcard

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Mathematics

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8th - 10th Grade

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Practice Problem

•

Hard

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FLASHCARD QUESTION

Front

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

Back

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

If the slope is negative, what does that indicate about the graph of the line?

Back

A negative slope indicates that the line descends from left to right.

FLASHCARD QUESTION

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