Point-Slope Form - Graphing

Front

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

Back

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

Front

What does the variable 'm' represent in the point-slope form?

Back

The variable 'm' represents the slope of the line.

Front

What does the variable '(x₁, y₁)' represent in the point-slope form?

Back

The variable '(x₁, y₁)' represents a specific point on the line.

Front

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

Back

Isolate 'y' to get y = mx + b.

Front

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

Back

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

Front

If a line has a slope of 2 and passes through the point (3, 4), what is its point-slope form?

Back

y - 4 = 2(x - 3).

Front

What is the y-intercept of the line represented by the equation y = 3x + 2?

Back

The y-intercept is 2.

Front

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

Back

Slope (m) = (y₂ - y₁) / (x₂ - x₁).

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.