Using Point Slope Form

Front

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

Back

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.

Front

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

Back

In the point-slope form y - y1 = m(x - x1), the slope m is the coefficient of (x - x1).

Front

What does the 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.

Front

How can you determine a point on the line from a point-slope equation?

Back

You can determine a point on the line by using the coordinates (x1, y1) from the point-slope form.

Front

What is the significance of the point (x1, y1) in the point-slope form?

Back

The point (x1, y1) is a specific point through which the line passes.

Front

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

Back

To convert to slope-intercept form (y = mx + b), solve for y in the point-slope equation.

Front

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

Back

The slope of the line is -4.

Front

What point does the line y - 3 = 2(x + 4) pass through?

Back

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

Front

How do you graph a line using point-slope form?

Back

To graph, plot the point (x1, y1) and use the slope m to determine the direction and steepness of the line.

Front

What is the slope of the line represented by the equation y + 8 = 2(x - 1)?

Back

The slope of the line is 2.