Point-Slope Form

Front

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

Back

y - y₁ = m(x - x₁)

Front

How do you identify the slope in the point-slope form?

Back

The slope (m) is the coefficient of (x - x₁) in the equation y - y₁ = m(x - x₁).

Front

What does the point (x₁, y₁) represent in the point-slope form?

Back

It represents a specific point on the line.

Front

If a line has a slope of 0, what is its orientation?

Back

The line is horizontal.

Front

What is the slope of a vertical line?

Back

The slope is undefined.

Front

Convert the equation y - 3 = 2(x - 1) to slope-intercept form.

Back

y = 2x + 1.

Front

Given the point (3, 4) and slope 2, write the equation in point-slope form.

Back

y - 4 = 2(x - 3).

Front

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

Back

The slope is -3.

Front

How do you find the equation of a line given two points?

Back

Calculate the slope (m) using (y₂ - y₁)/(x₂ - x₁) and use one point in the point-slope form.

Front

What is the significance of the slope in a linear equation?

Back

It indicates the steepness and direction of the line.