Lesson 4.1 & 4.2: Slope-intercept & Point-slope

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 is the Slope-Intercept form of a linear equation?

Back

The Slope-Intercept form is given by the equation: y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert from Point-Slope form to Slope-Intercept form?

Back

To convert, solve for y in the Point-Slope form equation: y - y₁ = m(x - x₁) to get y = mx + (y₁ - mx₁).

Front

What does the slope (m) represent in a linear equation?

Back

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

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

Given the point (2, 3) and slope 5, write the equation in Point-Slope form.

Back

y - 3 = 5(x - 2)