Point-Slope Form

Front

What is the Point-Slope Form of a linear equation?

Back

The Point-Slope Form 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 convert from Point-Slope Form 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 does the variable 'm' represent in the Point-Slope Form?

Back

In the Point-Slope Form, 'm' represents the slope of the line.

Front

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

Back

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

Front

What is the slope of the line represented by the equation y + 1 = -1/3(x - 2)?

Back

The slope of the line is -1/3.

Front

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

Back

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

Front

What is the Slope-Intercept Form of the line with a slope of 2 that passes through the point (1, 1)?

Back

The Slope-Intercept Form is y = 2x - 1.

Front

How do you graph a line given in Point-Slope Form?

Back

To graph a line in Point-Slope Form, plot the point (x₁, y₁) and use the slope 'm' to find another point.

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 that the equation represents.

Front

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

Back

Two lines are parallel if they have the same slope (m).