Point Slope Practice

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 (x₁, y₁) is a point on the line and m is the slope.

Front

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

Back

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

Tags

CCSS.8.EE.B.5

Front

What does it mean if a line has an undefined slope?

Back

A line with an undefined slope is vertical, meaning it goes straight up and down and does not have a defined angle.

Tags

CCSS.8.EE.B.5

Front

How can you convert point-slope form to slope-intercept form?

Back

To convert 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 + 1 = -3(x - 5)?

Back

The slope of the line is -3.

Tags

CCSS.8.EE.B.5

Front

If a line passes through the point (10, 5) and has a slope of -3, what is its point-slope equation?

Back

The point-slope equation is y - 5 = -3(x - 10).

Front

What is the significance of the point (x₁, y₁) in the point-slope form?

Back

The point (x₁, y₁) represents a specific point on the line, which is used to define the line's position.

Front

How do you determine if a point lies on a given line?

Back

To determine if a point (x, y) lies on a line defined by an equation, substitute x into the equation and check if the resulting y equals the y-coordinate of the point.

Front

What is the relationship between the slope and the angle of a line?

Back

The slope of a line is the tangent of the angle (θ) it makes with the positive x-axis, given by m = tan(θ).

Tags

CCSS.8.EE.B.6

Front

What does the term 'slope' represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Tags

CCSS.8.EE.B.5