Point-Slope Form (2.4 Flashcard 1)

Front

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

Back

y - y₁ = m(x - x₁)

Front

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

Back

y = mx + b

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope.

Front

Write the equation of a line parallel to y = 4x - 1 through the point (2, 7) in slope-intercept form.

Back

y = 4x - 1

Front

What is the slope of the line represented by the equation y - 3 = 2(x + 4)?

Back

2

Front

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

Back

Isolate y in the equation y - y₁ = m(x - x₁) to get y = mx + (y₁ + m(x₁)).

Front

What is the formula to find the slope (m) between two points (x₁, y₁) and (x₂, y₂)?

Back

m = (y₂ - y₁) / (x₂ - x₁)