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 Flashcards

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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 is given by the equation $y = mx + b$ , where $m$ is the slope and $b$ is the y-intercept.

2.

FLASHCARD QUESTION

Front

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

Back

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

3.

FLASHCARD QUESTION

Front

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

Back

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

4.

FLASHCARD QUESTION

Front

What is the slope in the equation $y = 4x + 3$ ?

Back

The slope is $4$ .

5.

FLASHCARD QUESTION

Front

What is the y-intercept in the equation $y = -x + 2$ ?

Back

The y-intercept is $2$ .

6.

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.

7.

FLASHCARD QUESTION

Front

What is the slope of the line represented by the equation $y = 1/3x - 2$ ?

Back

The slope is $\frac{1}{3}$ .

8.

FLASHCARD QUESTION

Front

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

Back

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

10.

FLASHCARD QUESTION

Front

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

Back

The slope is $1$ .

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