Convert the equation $$x - 2y = -12$$ to slope-intercept form.

The slope-intercept form is $$y = 2x + \frac{1}{2}$$ .

Convert the equation $$5x = -4y - 8$$ to slope-intercept form.

The slope-intercept form is $$y = -2x - \frac{5}{4}$$ .

What is the formula to find the equation of a line given a point and a slope?

The equation can be found using the point-slope form: $$y - y1 = m(x - x1)$$ , where (x1, y1) is the point and $$m$$ is the slope.

Write the equation of the line through (-3, 1) with a slope of $$\frac{1}{3}$$ .

The equation is $$y = \frac{1}{3}x + 2$$ .

What is the significance of a positive slope?

A positive slope indicates that as x increases, y also increases, meaning the line rises from left to right.

What does a negative slope indicate?

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

How can you determine if two lines are parallel?

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

What is the relationship between the slopes of perpendicular lines?

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

How do you graph a linear equation in slope-intercept form?

To graph a linear equation in slope-intercept form $$y = mx + b$$ , start at the y-intercept (0, b) on the y-axis, then use the slope (rise/run) to find another point.

Equations of Lines and Slope Practice 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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

2.

FLASHCARD QUESTION

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Tags

CCSS.8.EE.B.5

3.

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive slope means the line rises, negative slope means it falls).

Tags

CCSS.8.EE.B.5

4.

FLASHCARD QUESTION

Front

What is the y-intercept of a line?

Back

5.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

6.

FLASHCARD QUESTION

Front

Find the slope of the line through the points (-1, -5) and (-2, 1).

Back

Tags

CCSS.8.EE.B.5

7.

FLASHCARD QUESTION

Front

Write the slope-intercept form of the line through the points (-5, 3) and (-4, 2).

Back

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