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 the formula: 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 a Point-Slope equation?

Back

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

Front

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

Back

The point (x1, y1) represents a specific point on the line described by the equation.

Front

How can you convert a Point-Slope equation to Slope-Intercept form?

Back

To convert from Point-Slope Form (y - y1 = m(x - x1)) to Slope-Intercept Form (y = mx + b), solve for y.

Front

What is the slope of the line represented by the equation y - 5 = 3(x + 2)?

Back

The slope of the line is 3.

Front

If a line has a slope of -2 and passes through the point (3, 4), what is its Point-Slope Form?

Back

The Point-Slope Form is y - 4 = -2(x - 3).

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 means the line rises, while a negative slope means it falls.

Front

How do you find a point on a line given its Point-Slope equation?

Back

To find a point on the line, you can substitute any value for x into the Point-Slope equation and solve for y.

Front

What is the Point-Slope Form of the line that goes through (1, 2) with a slope of 4?

Back

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

Front

How can you determine if a point lies on a line given its 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.