Point-Slope Form and Slope Concepts

Front

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

Back

The point-slope form of a linear equation is given by: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you find the slope (m) between two points (x_1, y_1) and (x_2, y_2)?

Back

The slope (m) is calculated using the formula: m = (y_2 - y_1) / (x_2 - x_1).

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.

Front

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

Back

y - 4 = 2(x - 3).

Front

Convert the point-slope equation y + 1 = -3(x + 2) to slope-intercept form.

Back

The slope-intercept form is y = -3x - 7.

Front

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

Back

The slope of the line is 4.

Front

Write the equation in point-slope form for a line with slope -1/2 that passes through the point (6, 3).

Back

y - 3 = -1/2(x - 6).

Front

How do you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.