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

Front

What does the slope of a line represent?

Back

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

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that for every 1 unit increase in x, y decreases by 3 units, meaning the line descends from left to right.

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 significance of the point (x1, y1) in the Point-Slope form?

Back

The point (x1, y1) is a specific point on the line, which is used to define the line's position in the coordinate plane.

Front

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

Back

The slope (m) is 2.

Front

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

Back

To determine if a point (x, y) lies on the line, substitute the x-value into the Point-Slope equation and check if the resulting y-value matches.

Front

What is the equation of a line in Point-Slope form that passes through (6, 1) with a slope of -3?

Back

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

Front

How do you write the equation of a line in Point-Slope form given a slope and a point?

Back

Use the formula y - y1 = m(x - x1), substituting the slope (m) and the coordinates of the point (x1, y1).