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 find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) between two points is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line that passes through the points (3, -5) and (5, -1)?

Back

The slope is m = (-1 - (-5)) / (5 - 3) = 4 / 2 = 2.

Front

Given a point (6, 1) and a slope of -3, write the equation in Point-Slope form.

Back

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

Front

Convert the Point-Slope form equation y - 2 = 9(x + 1) to Slope-Intercept form.

Back

The Slope-Intercept form is y = 9x + 11.

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

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 anchor the equation.

Front

If the slope of a line is negative, what does that indicate about the direction of the line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the Point-Slope form of the line that has a slope of 1/2 and passes through the point (2, 3)?

Back

The equation is y - 3 = 1/2(x - 2).

Front

How can you determine if a given equation is in Point-Slope form?

Back

An equation is in Point-Slope form if it can be expressed as y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.