Point-Slope Form

Front

What is the Point-Slope Form of a linear equation?

Back

The Point-Slope Form 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 a linear equation from slope-intercept form to point-slope form?

Back

To convert from slope-intercept form (y = mx + b) to point-slope form, identify a point (x_1, y_1) on the line and use the slope m to write the equation as y - y_1 = m(x - x_1).

Front

What is the slope of the line represented by the equation y - 3 = 2(x + 4)?

Back

The slope of the line is 2.

Front

Given the point (6, 1) and a slope of -3, write the equation in Point-Slope form.

Back

The equation is y - 1 = -3(x - 6).

Front

What point does the equation y + 1 = 2(x - 5) pass through?

Back

The equation passes through the point (5, -1).

Front

Back

Front

What is the significance of the point (5, -1) in the equation y + 1 = 2(x - 5)?

Back

The point (5, -1) is a point on the line represented by the equation.

Front

How can you determine if a point lies on the line represented by a Point-Slope equation?

Back

Substitute the x and y coordinates of the point into the equation. If the equation holds true, the point lies on the line.

Front

What is the general form of a linear equation?

Back

The general form of a linear equation is Ax + By + C = 0, where A, B, and C are constants.

Front

What does the term 'slope' represent in a linear equation?

Back

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