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 slope of a line represent?

Back

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

Front

How do you find the y-intercept from the slope-intercept form?

Back

The y-intercept is the value of y when x = 0, represented by the value of b in the equation y = mx + b.

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line where the change in x is zero, leading to division by zero.

Front

What is a zero slope?

Back

A zero slope occurs in a horizontal line where the change in y is zero, indicating that y remains constant as x changes.

Front

How do you determine the x-intercept of a linear equation?

Back

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

Front

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

Back

The x-intercept is (8, 0).

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept indicates the point where the line crosses the y-axis, showing the value of y when x is zero.

Front

How can you convert the standard form of a linear equation to slope-intercept form?

Back

To convert from standard form Ax + By = C to slope-intercept form, solve for y to get y = (-A/B)x + (C/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.