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 m is the slope and (x₁, y₁) is a point on the line.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

Front

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

Back

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

Front

What is the slope of the line represented by the equation y - 5 = -2(x - 3)?

Back

The slope of the line is -2.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

Given the equation y + 4 = rac{1}{2}(x - 2), what is the slope?

Back

The slope is rac{1}{2}.

Front

Which of the following points lies on the line y - 1 = 3(x + 2)? (1, 4), (0, 1), (-2, -5), (2, 7)

Back

The point (1, 4) lies on the line.

Front

What is the y-intercept of the line given by the equation y - 2 = 4(x - 1)?

Back

The y-intercept is 2.

Front

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

Back

To convert, solve for y: y = mx + b, where b is the y-intercept.