What is the x-intercept of the equation $$3x + 8y = 24$$ ?

The x-intercept is the point where the graph crosses the x-axis. For the equation $$3x + 8y = 24$$ , the x-intercept is $$(8, 0)$$ .

Convert the equation $$-3x + 4y = 12$$ to slope-intercept form.

The slope-intercept form is $$y = mx + b$$ . The equation can be rearranged to $$y = \frac{3}{4}x + 3$$ .

What does the equation $$y = 3$$ represent graphically?

The equation $$y = 3$$ represents a horizontal line that crosses the y-axis at 3.

What is slope-intercept form?

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

How do you find the y-intercept from an equation?

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

What is the significance of a negative slope?

A negative slope indicates that as x increases, y decreases, showing an inverse relationship.

What does a slope of zero indicate?

A slope of zero indicates a horizontal line, meaning there is no change in y as x changes.

How can you determine if a slope is positive or negative from a graph?

If the line rises from left to right, the slope is positive. If it falls from left to right, the slope is negative.

What is the relationship between the coefficients in the equation of a line and its slope?

In the equation $$y = mx + b$$ , the coefficient m represents the slope of the line.

How do you graph the equation $$y = 2x + 1$$ ?

Start at the y-intercept (0,1) and use the slope (2) to find another point by going up 2 units and right 1 unit.

What is the formula for converting standard form to slope-intercept form?

To convert from standard form $$Ax + By = C$$ to slope-intercept form, solve for y: $$y = -\frac{A}{B}x + \frac{C}{B}$$ .

3.5, 3.6, and 4.2 Flashcard Review Flashcards

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1.

FLASHCARD QUESTION

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2.

FLASHCARD QUESTION

Front

How do you find the slope from a table of values?

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What is the formula to find the slope of a line?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Define x-intercept.

Back

The x-intercept is the point where a line crosses the x-axis, meaning the y-coordinate is zero.

7.

FLASHCARD QUESTION

Front

Define slope in the context of a linear equation.

Back

The slope of a linear equation represents the rate of change of y with respect to x, indicating how steep the line is.

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