Blue Team- Rewriting standard form to slope intercept 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.

Front

How do you isolate y in the equation -6x + 3y = 9?

Back

Add 6x to both sides to get 3y = 6x + 9, then divide by 3 to get y = 2x + 3.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept in the equation y = 2x + 3?

Back

The y-intercept is 3, which is the point where the line crosses the y-axis.

Front

How do you convert the equation 10x - 5y = 30 into slope-intercept form?

Back

Rearrange to isolate y: -5y = -10x + 30, then divide by -5 to get y = 2x - 6.

Front

What is standard form of a linear equation?

Back

Standard form is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

Identify the standard form of the equation: 5x + 7y = -12.

Back

This equation is in standard form.

Front

How do you rewrite the equation 3y - 2x = 9 into slope-intercept form?

Back

Add 2x to both sides: 3y = 2x + 9, then divide by 3 to get y = (2/3)x + 3.

Front

What is the process to convert x + 5y = -25 into slope-intercept form?

Back

Isolate y: 5y = -x - 25, then divide by 5 to get y = -1/5x - 5.

Front

What does it mean for an equation to be in slope-intercept form?

Back

It means the equation is expressed as y = mx + b, making it easy to identify the slope and y-intercept.