Point-Slope Formula

Front

What is the Point-Slope Formula?

Back

The Point-Slope Formula is used to find the equation of a line given a point (x₁, y₁) and a slope (m). It is expressed as: y - y₁ = m(x - x₁).

Front

How do you find the equation of a line using the Point-Slope Formula?

Back

To find the equation of a line using the Point-Slope Formula, substitute the given point (x₁, y₁) and the slope (m) into the formula: y - y₁ = m(x - x₁).

Front

Given the point (-1, 2) and slope -4, what is the equation of the line?

Back

y - 2 = -4(x + 1).

Front

Given the point (5, -2) and slope 5, what is the equation of the line?

Back

y + 2 = 5(x - 5).

Front

Given the point (-2, 5) and slope 1/3, what is the equation of the line?

Back

y - 5 = (1/3)(x + 2).

Front

Given the point (-2, 5) and slope -3, what is the equation of the line?

Back

y - 5 = -3(x + 2).

Front

Given the point (-3, 7) and slope -1/4, what is the equation of the line?

Back

y - 7 = (-1/4)(x + 3).

Front

What does the slope represent in the context of a line?

Back

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

Front

What is the significance of the point (x₁, y₁) in the Point-Slope Formula?

Back

The point (x₁, y₁) is a specific point on the line, which is used as a reference to determine the line's equation.

Front

How can you convert the Point-Slope Form to Slope-Intercept Form?

Back

To convert from Point-Slope Form (y - y₁ = m(x - x₁)) to Slope-Intercept Form (y = mx + b), solve for y.