Point Slope and Slope Intercept Forms

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

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

Back

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

Front

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

Back

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

Front

What does the slope of a line represent?

Back

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

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by b in the equation.

Front

Convert the point (2, 3) and slope m = 2 into Point-Slope Form.

Back

y - 3 = 2(x - 2).

Front

Convert the equation y - 1 = 3(x + 2) into Slope-Intercept Form.

Back

y = 3x + 7.

Front

What is the slope of the line represented by the equation y = -5x + 4?

Back

The slope is -5.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

If a line has an undefined slope, what does that indicate about the line?

Back

An undefined slope indicates that the line is vertical.