How do you write the equation of a line with a slope of $$\frac{2}{3}$$ and a y-intercept of -3?

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

How do you find the y-intercept of a line given its slope and a point on the line?

Use the formula $$y = mx + b$$ , where m is the slope and (x, y) is the point. Solve for b.

What is the general form of a linear equation?

The general form is $$Ax + By + C = 0$$ .

What does it mean for two lines to be parallel?

Two lines are parallel if they have the same slope.

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

The slope-intercept form is $$y = mx + b$$ , where m is the slope and b is the y-intercept.

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

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

What is the significance of the y-intercept in a linear equation?

The y-intercept is the point where the line crosses the y-axis.

How can you identify the slope and y-intercept from the equation $$y=mx+b$$ ?

The slope is m and the y-intercept is b.

4.1-4.3 Review (Mentzer) Flashcards

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14 questions

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1.

FLASHCARD QUESTION

Front

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2.

FLASHCARD QUESTION

Front

Back

The y-intercept is the point (0, 3).

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

The slope is -4.

5.

FLASHCARD QUESTION

Front

Back

The y-intercept is the point (0, 3).

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is the slope of the line that passes through the points (-4, -5) and (-2, -2)?

Back

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