Review for Flashcard 3 Per 6 Graphing Linear Function Slope Intercept

Front

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

Back

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

Front

How do you identify the slope from the equation y = -\frac{3}{2}x - 3?

Back

The slope (m) is -\frac{3}{2}.

Front

What does the y-intercept represent in the equation y = mx + b?

Back

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

Front

Graph the equation y = \frac{3}{2}x - 3. What is the slope?

Back

The slope is \frac{3}{2}.

Front

If the slope m = -4 and the y-intercept b = 19, what is the equation of the line?

Back

The equation is y = -4x + 19.

Front

What is the significance of a positive slope?

Back

A positive slope indicates that as x increases, y also increases.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as x increases, y decreases.

Front

How can you find the y-intercept from the equation y = 2x + 5?

Back

The y-intercept is 5, which is the value of y when x = 0.

Front

What is the slope of the line represented by the equation y = 0?

Back

The slope is 0, indicating a horizontal line.

Front

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

Back

The standard form is Ax + By = C, so it becomes 3x - y = -2.