Point - Slope Form

Front

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

Back

Front

How do you write the equation of a line in point-slope form given a slope and a point?

Back

Front

Given the slope m = 3 and the point (1, -5), write the equation in point-slope form.

Back

Front

What does the slope represent in the context of a linear equation?

Back

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

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line is decreasing; for every 1 unit increase in x, y decreases by 3 units.

Front

How can you determine if a point lies on a line represented in point-slope form?

Back

Substitute the x-coordinate of the point into the equation and check if the resulting y-value matches the y-coordinate of the point.

Front

What is the significance of the point (x_1, y_1) in the point-slope form?

Back

The point (x_1, y_1) is a specific point on the line, and the equation is based on this point and the slope.

Front

Back

Front

Back

Front

Write the point-slope form of a line with slope m = -1/4 that passes through the point (4, -7).

Back