Point slope form

Front

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

Back

The point-slope form of a linear equation is given by y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.

Front

How do you identify the slope from a point-slope equation?

Back

In the point-slope form y - y₁ = m(x - x₁), the slope is represented by the variable m.

Front

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

Back

The variable m represents the slope of the line.

Front

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

Back

To convert point-slope form (y - y₁ = m(x - x₁)) to slope-intercept form (y = mx + b), solve for y.

Front

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

Back

The point (x₁, y₁) is a specific point on the line represented by the equation.

Front

If the slope m is positive, what does that indicate about the line?

Back

A positive slope indicates that the line rises from left to right.

Front

If the slope m is negative, what does that indicate about the line?

Back

A negative slope indicates that the line falls from left to right.

Front

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

Back

The slope m can be calculated using the formula m = (y₂ - y₁) / (x₂ - x₁).

Front

What is the slope of the line represented by the equation y - 1 = 4(x + 2)?

Back

The slope of the line is 4.

Front

What point does the equation y + 1 = -3(x - 5) pass through?

Back

The equation passes through the point (5, -1).