Point-Slope Formula

Front

What is the Point-Slope Formula?

Back

The Point-Slope Formula is used to write the equation of a line given a point (x₁, y₁) and a slope m. It is expressed as: y - y₁ = m(x - x₁).

Front

How do you write the equation of a line in Point-Slope form?

Back

To write the equation in Point-Slope form, identify a point (x₁, y₁) on the line and the slope m, then use the formula: y - y₁ = m(x - x₁).

Front

Given the point (10, 5) and slope -3, write the equation in Point-Slope form.

Back

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

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

If a line has a slope of 3 and passes through (-1, 9), what is its equation?

Back

y = 3x + 12.

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).

Front

What is the equation of the line that passes through (3, -1) and (2, -4)?

Back

y = 3x - 10.

Front

Write the equation in Point-Slope form for the point (-2, -1) with slope -3.

Back

y + 1 = -3(x + 2).

Front

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

Back

The point (x₁, y₁) is a specific point on the line used to anchor the equation in the Point-Slope form.