Review: Point-Slope Form

Front

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

Back

y - y₁ = m(x - x₁)

Front

Given a point (-2, -1) and a slope of -3, write the equation in point-slope form.

Back

y + 1 = -3(x + 2)

Front

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

Back

y = mx + b

Front

For the equation y + 1 = -3(x - 5), what is the slope?

Back

-3

Front

For the equation y - 3 = 2(x + 4), what point does the line contain?

Back

(-4, 3)

Front

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

Back

The slope of the line.

Front

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

Back

Isolate y to get y = mx + b.

Front

If a line has a slope of 2 and passes through the point (1, 2), what is the point-slope form?

Back

y - 2 = 2(x - 1)

Front

What is the significance of (x₁, y₁) in the point-slope form?

Back

It represents a specific point on the line.

Front

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

Back

m = (y₂ - y₁) / (x₂ - x₁)