Slope-Intercept Form, Point-Slope Form, Standard Form

Front

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

Back

The Slope-Intercept Form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the 'm' represent in the Slope-Intercept Form?

Back

In the equation y = mx + b, 'm' represents the slope of the line, indicating how steep the line is.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What does the 'b' represent in the Slope-Intercept Form?

Back

In the equation y = mx + b, 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

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 convert from Point-Slope Form to Slope-Intercept Form?

Back

To convert, solve for y in the Point-Slope Form equation y - y1 = m(x - x1) to get y = mx + (y1 - mx1).

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the Standard Form of a linear equation?

Back

The Standard Form is given by the equation Ax + By = C, where A, B, and C are integers and A should be non-negative.

Front

How do you convert from Slope-Intercept Form to Standard Form?

Back

To convert, rearrange the equation y = mx + b to the form Ax + By = C by moving all terms to one side.

Front

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

Back

The slope of the line is 3.

Tags

CCSS.8.EE.B.5

Front

What is the y-intercept of the line represented by the equation y = -2x + 5?

Back

The y-intercept of the line is 5.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

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

Back

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

Tags

CCSS.8.EE.B.5