Point slope form

Front

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

Back

y - y₁ = m(x - x₁)

Front

Given a point (x₁, y₁) and a slope m, how do you write the equation of a line in point-slope form?

Back

Use the formula y - y₁ = m(x - x₁).

Front

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

Back

The slope of the line.

Front

If a line passes through the point (4, -7) with a slope of -1/4, what is the point-slope form of the equation?

Back

y + 7 = -1/4(x - 4)

Front

How do you identify the slope from the equation y - 1 = 4(x + 2)?

Back

The slope is the coefficient of (x), which is 4.

Front

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

Back

The point (-4, 3).

Front

What is the first step to convert point-slope form to slope-intercept form?

Back

Distribute the slope (m) and simplify the equation.

Front

If the slope of a line is 3, what does this indicate about the line's steepness?

Back

The line rises 3 units for every 1 unit it moves to the right.

Front

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

Back

It is a specific point that the line passes through.

Front

How can you determine if two lines are parallel using their point-slope forms?

Back

If they have the same slope (m) but different y-intercepts.