Point Slope Form Practice

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 equation?

Back

In the point-slope form 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 for a line to have an undefined slope?

Back

A line has an undefined slope when it is vertical, meaning it does not rise or fall as it moves along the x-axis.

Tags

CCSS.8.EE.B.5

Front

How can you convert a point-slope 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 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 as a reference to define the line's slope.

Front

If a line passes through the point (2, 3) and has a slope of 4, what is its point-slope form?

Back

The point-slope form is y - 3 = 4(x - 2).

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 the x-value into the equation and check if the resulting y-value matches the y-coordinate of the point.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0, meaning it does not rise or fall as it moves along the x-axis.

Tags

CCSS.8.EE.B.5

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) between two points is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the equation of a vertical line?

Back

The equation of a vertical line is of the form x = a, where 'a' is the x-coordinate of any point on the line.