What is the slope of the line represented by the equation $$y = -\frac{1}{2}x + 4$$ ?

The slope of the line is $$-\frac{1}{2}$$ .

How do you convert the equation $$y = 3x + 1$$ to slope-intercept form?

The equation is already in slope-intercept form: $$y = mx + b$$ , where $$m = 3$$ and $$b = 1$$ .

What is the slope of a vertical line?

The slope of a vertical line is undefined.

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

The slope is calculated using the formula $$m = \frac{y2 - y1}{x2 - x1}$$ .

If the slope of a line is positive, what does that indicate about the line's direction?

A positive slope indicates that the line rises from left to right.

If the slope of a line is negative, what does that indicate about the line's direction?

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

What is the equation of a line with a slope of -3 that passes through the point (2, 1)?

Using the point-slope form, the equation is $$y - 1 = -3(x - 2)$$ , which simplifies to $$y = -3x + 7$$ .

How can you determine if two lines are parallel using their equations?

Two lines are parallel if they have the same slope (m) in their slope-intercept forms.

How can you determine if two lines are perpendicular using their slopes?

Two lines are perpendicular if the product of their slopes is -1 (i.e., $$m1 * m2 = -1$$ ).

What does it mean if a line has a slope of 0?

A line with a slope of 0 is horizontal and does not rise or fall.

Slope Intercept Equation Of A Line From Graph

Slope-intercept equation of a line from graph

Flashcard

•

Mathematics

•

8th - 11th Grade

•

Practice Problem

•

Hard

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FLASHCARD QUESTION

Front

What is the slope-intercept form of a line?

Back

FLASHCARD QUESTION

Front

How do you identify the slope from the slope-intercept equation?

Back

FLASHCARD QUESTION

Front

What does the y-intercept represent in the slope-intercept form?

Back

FLASHCARD QUESTION

Front

If a line has a slope of 2, what is the equation of the line if it crosses the y-axis at -3?

Back

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

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