Slope-Intercept Form and Point-Slope Form

Front

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

Back

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

Front

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

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

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

Back

The point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert from point-slope form to slope-intercept form?

Back

To convert, solve for y in the point-slope form equation.

Front

What does 'm' represent in the equation y = mx + b?

Back

'm' represents the slope of the line, indicating its steepness and direction.

Front

What is a positive slope?

Back

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

Front

What is a negative slope?

Back

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

Front

What is a zero slope?

Back

A zero slope indicates a horizontal line, where y remains constant as x changes.

Front

What is an undefined slope?

Back

An undefined slope occurs in a vertical line, where x remains constant and y changes.

Front

Write the point-slope form of the line with slope -2 passing through the point (3, 4).

Back

y - 4 = -2(x - 3).