What is the slope of the line represented by the equation $$y = -\frac{3}{4}x + 5$$ ?

The slope of the line is $$-\frac{3}{4}$$ .

If a line passes through the points (1, 2) and (3, 6), what is its equation?

First, find the slope: $$m = \frac{6-2}{3-1} = 2$$ . Then use point-slope form: $$y - 2 = 2(x - 1)$$ , which simplifies to $$y = 2x$$ .

What does it mean if two lines are parallel?

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

What is the equation of a horizontal line?

The equation of a horizontal line is of the form $$y = b$$ , where $$b$$ is a constant.

What is the equation of a vertical line?

The equation of a vertical line is of the form $$x = a$$ , where $$a$$ is a constant.

How do you find the x-intercept of a line given its equation?

To find the x-intercept, set $$y = 0$$ in the equation and solve for $$x$$ .

What is the significance of the slope in real-world contexts?

The slope represents the rate of change, such as speed in a distance-time graph or cost per item in a cost graph.

How can you graph a linear equation?

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

What is the relationship between the slopes of perpendicular lines?

The slopes of perpendicular lines are negative reciprocals of each other. If one slope is $$m$$ , the other is $$-\frac{1}{m}$$ .

Writing Equation Of A Line From A Graph

Writing Equation of a Line from a Graph

Flashcard

•

Mathematics

•

6th - 8th Grade

•

Practice Problem

•

Hard

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FLASHCARD QUESTION

Front

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

Back

FLASHCARD QUESTION

Front

How do you identify the slope from a graph?

Back

The slope can be identified by calculating the rise over run between two points on the line. It is the change in y divided by the change in x.

FLASHCARD QUESTION

Front

What does the y-intercept represent in a linear equation?

Back

FLASHCARD QUESTION

Front

How can you determine if a line is increasing or decreasing from its equation?

Back

FLASHCARD QUESTION

Front

What is the equation of a line with a slope of 2 and a y-intercept of -1?

Back

FLASHCARD QUESTION

Front

How do you convert a slope-intercept equation to standard form?

Back

FLASHCARD QUESTION

Front

Back

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