Standard Form

Front

What is Standard Form in mathematics?

Back

Standard Form is a way of writing numbers or equations in a specific format. For linear equations, it is typically written as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

Convert the equation 4x - 3y = 12 to slope-intercept form.

Back

y = 4/3x - 4

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What are the x- and y-intercepts of the equation x + y = -2?

Back

(-2, 0) and (0, -2)

Tags

CCSS.HSF-IF.C.7A

Front

Write the slope-intercept form of the equation 9x - 7y = -7.

Back

y = 9/7x + 1

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

Which of the following is in standard form? y=3x-5, 3x+16=5y, 2/3 x + 9/13 y = 21, 5x+7y=-12

Back

5x + 7y = -12

Front

What is the x-intercept of the equation 4x - 10y = 20?

Back

x-int = 5, y-int = -2

Front

What does the slope-intercept form of a linear equation look like?

Back

The slope-intercept form is written as 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

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Tags

CCSS.8.EE.B.5

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the slope-intercept form y = mx + b.

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Front

What is the relationship between the coefficients in standard form Ax + By = C?

Back

A, B, and C are integers, and A should be non-negative. The equation represents a linear relationship.