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 Point-Slope Form?

Back

In the Point-Slope Form y - y₁ = m(x - x₁), the slope m is the coefficient of (x - x₁).

Front

What does the term (x - x₁) represent in the Point-Slope Form?

Back

The term (x - x₁) represents the horizontal distance from the point (x₁, y₁) to any point (x, y) on the line.

Front

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

Back

The slope of the line is 4.

Front

If a line has a slope of -2 and passes through the point (1, 3), what is its Point-Slope Form?

Back

The Point-Slope Form is y - 3 = -2(x - 1).

Front

Which of the following is NOT in Point-Slope Form? y - 2 = 3(x + 1), y + 4 = -1(x - 2), 2x + 3y = 6

Back

2x + 3y = 6 is NOT in Point-Slope Form.

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 that helps define the line's position.

Front

Convert the Point-Slope Form y - 1 = 2(x - 3) to Slope-Intercept Form.

Back

The Slope-Intercept Form is y = 2x - 5.

Front

How can you determine if a point lies on the line given by the equation y - 5 = 3(x - 2)?

Back

Substitute the x and y coordinates of the point into the equation. If the equation holds true, the point lies on the line.

Front

What is the Point-Slope Form of a line with slope 1 that passes through the origin?

Back

The Point-Slope Form is y - 0 = 1(x - 0), or simply y = x.