Slope-Intercept & Point-Slope Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

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

What is point-slope form of a linear equation?

Back

Point-slope form is y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.

Front

How do you convert point-slope form to slope-intercept form?

Back

To convert, solve for y: y = mx - mx₁ + y₁.

Front

What is the y-intercept in the equation y = 3x + 2?

Back

The y-intercept is 2, which is the value of y when x = 0.

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 slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.

Front

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

Back

A slope of 0 indicates a horizontal line.

Front

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

Back

An undefined slope indicates a vertical line.

Front

Write the equation in slope-intercept form for a line with slope 1 and y-intercept -3.

Back

y = 1x - 3 or y = x - 3.