Graphing Slope Intercept Form

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

What does the y-intercept represent in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

How do you identify the slope from the slope-intercept form?

Back

The slope (m) is the coefficient of x in the equation y = mx + b.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

How can you graph the equation y = 2x + 3?

Back

Start at the y-intercept (0, 3) and use the slope (2) to rise 2 units up and run 1 unit to the right to find another point.

Front

What is the slope of the line represented by the equation y = -4x + 1?

Back

The slope is -4.

Front

If the equation of a line is y = rac{1}{2}x - 1, what is the y-intercept?

Back

The y-intercept is -1.

Front

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

Back

To convert to standard form, rearrange to get -3x + y = 2 or 3x - y = -2.

Front

What is the significance of the slope in real-world applications?

Back

The slope represents the rate of change, such as speed or cost per item.