Point Slope Equations

Front

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

Back

Front

How do you find the slope between two points?

Back

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

Front

Given the points (3, -8) and (7, -2), what is the slope?

Back

Front

Write the point-slope equation for the line through (3, -8) with slope 3/2.

Back

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 that the equation represents.

Front

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

Back

Front

Back

The point is (2, 7) and the slope is -4.

Front

Back

The slope is -rac{5}{2}.

Front

How do you determine the slope from a point-slope equation?

Back

The slope is the coefficient of (x - x_1) in the point-slope equation.