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 equation?

Back

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

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.

Front

If a line has a slope of -3, what does this indicate about its 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

Convert the Point-Slope Form y - 2 = 5(x - 1) into slope-intercept form.

Back

y = 5x - 3.

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

Write the Point-Slope Form of a line with slope 2 passing through the point (3, 4).

Back

y - 4 = 2(x - 3).

Front

How can you determine if two lines are parallel using their slopes?

Back

Two lines are parallel if they have the same slope.

Front

What is the slope of the line represented by the equation y + 1 = -3(x - 5)?

Back

The slope is -3.

Front

If a line has a slope of 0, what does this indicate about the line?

Back

A slope of 0 indicates a horizontal line.