Point - Slope Form

Front

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

Back

The point-slope form is given by the equation: 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 the equation y + 1 = -3(x - 5)?

Back

The slope (m) is the coefficient of (x), which is -3 in this equation.

Front

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

Back

Front

Write the point-slope form of the line that passes through (4, -7) with a slope of -1/4.

Back

Front

What is the slope of a line represented by the equation y + 5 = 3(x - 1)?

Back

The slope (m) is 3.

Front

Which of the following represents point-slope form: y - y₁ = m(x - x₁), Ax + By = C, or y = mx + b?

Back

The point-slope form is represented by: y - y₁ = m(x - x₁).

Front

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

Back

To convert, solve for y in the equation y - y₁ = m(x - x₁) to get y = mx + b.

Front

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

Back

The variable 'm' represents the slope of the line.

Front

If a line has a slope of -3 and passes through the point (5, -1), what is the point-slope form?

Back

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 used to define the line's equation.