How do you find the y-intercept from the equation $$y = -2x + 4$$ ?

The y-intercept is the value of $$y$$ when $$x = 0$$ . For this equation, the y-intercept is $$4$$ .

What is the slope of the line represented by the equation $$y = -\frac{3}{2}x + 4$$ ?

The slope of the line is $$-\frac{3}{2}$$ .

If a line has a slope of $$-5/3$$ , what does this indicate about the line's direction?

A slope of $$-5/3$$ indicates that the line is decreasing as it moves from left to right.

Write the equation for a plumber's charges: $50 for a house call plus $12 per hour for labor.

The equation is $$y = 12x + 50$$ , where $$y$$ is the total charge and $$x$$ is the number of hours worked.

What is the slope of the line represented by the equation $$y = -\frac{2}{3}x + 4$$ ?

The slope of the line is $$-\frac{2}{3}$$ .

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

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

What does a positive slope indicate about a line?

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

What is the significance of the y-intercept in a real-world context?

The y-intercept represents the starting value of a situation before any changes occur.

How can you convert the equation $$y = 3x + 2$$ into standard form?

To convert to standard form, rearrange to $$3x - y = -2$$ .

What is the slope of a horizontal line?

The slope of a horizontal line is $$0$$ .

What is the slope of a vertical line?

The slope of a vertical line is undefined.

Slope Intercept 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

2.

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. It indicates how steep the line is.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

How do you graph a line using the slope-intercept form?

Back

Start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point by rising and running.

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

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