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

How do you write the point-slope form of a line given a slope and a point?

Back

To write the point-slope form, use the formula y - y₁ = m(x - x₁), substituting the slope m and the coordinates of the point (x₁, y₁).

Front

Given the slope m = 1/2 and the point (-2, 1), what is the point-slope form of the line?

Back

The point-slope form is y - 1 = 1/2(x + 2).

Front

What is the slope of the line represented by the equation y - 3 = 2(x + 4)?

Back

The slope of the line is m = 2.

Front

How do you convert the coordinates of two points into point-slope form?

Back

First, calculate the slope m using the formula m = (y₂ - y₁) / (x₂ - x₁). Then, use one of the points and the slope in the point-slope form y - y₁ = m(x - x₁).

Front

What is the slope of a line that goes through the points (-2, -3) and (4, 3)?

Back

The slope m is calculated as m = (3 - (-3)) / (4 - (-2)) = 6 / 6 = 1.

Front

Write the point-slope form of a line with slope m = 3 that passes through the point (1, -5).

Back

The point-slope form is y + 5 = 3(x - 1).

Front

What does the variable 'm' represent in the point-slope form of a linear equation?

Back

In the point-slope form, 'm' represents the slope of the line.

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, which is used to define the line's position in the coordinate plane.

Front

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

Back

The slope can be identified as the coefficient of (x - x₁) in the point-slope equation y - y₁ = m(x - x₁).