Identify the slope and y-intercept for the line $$y=\frac{1}{2}x-5$$ .

The slope is $$\frac{1}{2}$$ and the y-intercept is $$-5$$ .

Find the x- and y-intercepts of the line $$x-y=5$$ .

The x-intercept is $$5$$ (when $$y=0$$ ) and the y-intercept is $$-5$$ (when $$x=0$$ ).

What is the y-intercept of a line?

The y-intercept is the point where the line crosses the y-axis, represented as (0, b).

What is the x-intercept of a line?

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0).

What is the relationship between parallel lines in terms of slope?

Parallel lines have the same slope.

What is the relationship between perpendicular lines in terms of slope?

Perpendicular lines have slopes that are negative reciprocals of each other.

How can you convert the slope-intercept form to standard form?

To convert $$y=mx+b$$ to standard form $$Ax+By=C$$ , rearrange the equation to isolate $$Ax$$ and $$By$$ .

What is the significance of the coefficients A, B, and C in the standard form of a line?

The coefficients A and B determine the slope, while C represents the line's position relative to the origin.

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

Start at the y-intercept (0, b) and use the slope (rise/run) to find another point.

What is the formula for finding the equation of a line given a point and the slope?

Use the point-slope form: $$y-y_1=m(x-x_1)$$ , where (x1, y1) is the point.

Linear Equations Review Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the slope-intercept form for a line?

Back

2.

FLASHCARD QUESTION

Front

What is the standard form for a line?

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

What is the slope of the line on the graph?

Back

6.

FLASHCARD QUESTION

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x.

7.

FLASHCARD QUESTION

Front

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

Back

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