Point-Slope Form

Front

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

Back

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

Front

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

Back

The slope is represented by the coefficient m in the equation y - y1 = m(x - x1).

Front

What does the point (x1, y1) represent in the point-slope form?

Back

The point (x1, y1) is a specific point on the line described by the equation.

Front

If a line has a slope of 0, what type of line is it?

Back

A line with a slope of 0 is a horizontal line.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Convert the equation y - 3 = 2(x + 4) to slope-intercept form.

Back

The slope-intercept form is y = 2x + 11.

Front

What is the slope of the line represented by the equation y + 1 = -3(x - 5)?

Back

The slope is -3.

Front

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

Back

A positive slope rises from left to right, a negative slope falls from left to right, and a zero slope is a horizontal line.

Front

What is the equation of a line with a slope of ½ that passes through the point (6, 12)?

Back

The equation is y - 12 = ½(x - 6).

Front

What does it mean if two lines are parallel in terms of slope?

Back

Two lines are parallel if they have the same slope.