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

What does the 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

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

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

Back

The slope is 2.

Front

What point does the line y - 3 = 2(x + 4) pass through?

Back

The line passes through the point (-4, 3).

Front

How do you convert Point-Slope Form to Slope-Intercept Form?

Back

To convert, solve for y: y - y₁ = m(x - x₁) becomes y = mx - mx₁ + y₁.

Front

What is the significance of the point (x₁, y₁) in Point-Slope Form?

Back

The point (x₁, y₁) is a specific point on the line that the equation represents.

Front

For the equation y + 1 = -3(x - 5), what is the slope?

Back

The slope is -3.

Front

Write the Point-Slope Form for a line with slope -3 passing through (10, 5).

Back

y - 5 = -3(x - 10).

Front

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

Back

The slope m is calculated as m = (y₂ - y₁) / (x₂ - x₁).