Point-Slope Form and Standard Form Review

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 convert point-slope form 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 to isolate it on one side.

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

How do you find the slope from two points?

Back

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

Tags

CCSS.8.EE.B.5

Front

What are the x and y intercepts of a linear equation?

Back

The x-intercept is the point where the line crosses the x-axis (y=0), and the y-intercept is where the line crosses the y-axis (x=0).

Front

How do you find the y-intercept from the equation 5x - 3y = 15?

Back

To find the y-intercept, set x = 0 in the equation and solve for y. For 5(0) - 3y = 15, y = -5.

Front

What does the slope of a line represent?

Back

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

Tags

CCSS.8.EE.B.5

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Tags

CCSS.8.EE.B.6

Front

What is the relationship between point-slope form and standard form?

Back

Point-slope form can be converted to standard form by rearranging the equation into the format Ax + By = C.

Front

What is the significance of the ordered pair in the context of a linear equation?

Back

An ordered pair (x, y) represents a specific point on the line defined by the linear equation.

Tags

CCSS.HSF.IF.A.1