Point Slope Form of a Line

Front

What is the Point-Slope Form of a Line?

Back

The Point-Slope Form of a line is given by the equation: 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 convert Point-Slope Form to Slope-Intercept Form?

Back

To convert from Point-Slope Form (y - y_1 = m(x - x_1)) to Slope-Intercept Form (y = mx + b), solve for y.

Front

Back

The slope (m) is -1.

Front

Write the Point-Slope Form for a line with slope 3 passing through the point (1, 2).

Back

y - 2 = 3(x - 1).

Front

What does the slope of a line represent?

Back

The slope 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 a horizontal line.

Front

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

Back

An undefined slope indicates a vertical line.

Front

Back

y = -3x + 13.

Front

Back

The slope (m) is 2.

Front

Back

The line passes through the point (-4, 3).