Front

What is the Point-Slope Form of a linear equation?

Back

The Point-Slope Form of a linear equation is given by the formula: 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 a Point-Slope Form equation?

Back

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

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the point (x₁, y₁) represent in the Point-Slope Form?

Back

The point (x₁, y₁) represents a specific point on the line described by the equation.

Front

How can you convert a Point-Slope Form equation 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.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

The slope of the line is 2.

Tags

CCSS.8.EE.B.5

Front

Given the equation y - 6 = -1/4(x + 11), what point lies on this line?

Back

The point (-11, 6) lies on this line.

Front

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

Back

The slope indicates the steepness and direction of the line; a positive slope means the line rises, while a negative slope means it falls.

Tags

CCSS.8.EE.B.5

Front

How do you find a point on a line given its Point-Slope Form equation?

Back

To find a point on the line, you can substitute a value for x into the equation and solve for y.

Tags

CCSS.HSF.IF.A.1

Front

What is the Point-Slope Form equation for a line with slope -3 that passes through the point (6, 1)?

Back

The Point-Slope Form equation is y - 1 = -3(x - 6).

Front

What is the general process for writing an equation in Point-Slope Form?

Back

Identify a point on the line and the slope, then use the formula y - y₁ = m(x - x₁).