Point-Slope Form Practice

Front

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

Back

Front

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

Back

Front

What does the slope represent in a linear equation?

Back

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

Front

Given the point (4, 20) and slope 5, write the equation in point-slope form.

Back

Front

Back

The slope of the line is 2.

Front

If a line passes through the point (3, -5) with a slope of -3, what is the point-slope form?

Back

Front

Back

To find an ordered pair, choose a value for x, substitute it into the equation, and solve for y.

Front

What is the slope-intercept form of the line through (-2, -5) with slope -5?

Back

Front

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

Back

The point (x_1, y_1) is a specific point on the line that the equation represents.

Front

How do you determine if a point lies on the line represented by an equation?

Back

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