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 - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you identify the slope from the Point-Slope Form?

Back

In the Point-Slope Form y - y1 = m(x - x1), the slope m is the coefficient of (x - x1).

Front

Given the equation y - 3 = 2(x + 4), what is the slope?

Back

The slope m is 2.

Front

What does the point (x1, y1) represent in the Point-Slope Form?

Back

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

Front

Convert the Point-Slope Form to Slope-Intercept Form: y - 1 = 3(x - 2).

Back

The Slope-Intercept Form is y = 3x - 5.

Front

If a line has a slope of -1/2 and passes through the point (2, 3), what is the Point-Slope Form?

Back

The Point-Slope Form is y - 3 = -1/2(x - 2).

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness and direction of the line; a positive slope rises, while a negative slope falls.

Front

How do you determine if a point lies on a line given in Point-Slope Form?

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

Write the Point-Slope Form for a line with slope 4 passing through (1, 2).

Back

The Point-Slope Form is y - 2 = 4(x - 1).

Front

What is the relationship between Point-Slope Form and Slope-Intercept Form?

Back

Point-Slope Form can be converted to Slope-Intercept Form (y = mx + b) by solving for y.