Standard Form and Slope Intercept 2

Front

What is Standard Form in linear equations?

Back

Standard Form is a way of writing linear equations in the format Ax + By = C, where A, B, and C are integers, and A should be non-negative.

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Back

3x + y = 6

Front

Back

2x - y = -3

Front

What is Slope-Intercept Form?

Back

Slope-Intercept Form is a way of writing linear equations in the format y = mx + b, where m is the slope and b is the y-intercept.

Front

Back

y = -\frac{5}{2}x - 6

Front

Back

y = -4x + 3

Front

What does the slope (m) represent in a linear equation?

Back

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

Front

What does the y-intercept (b) represent in a linear equation?

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

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Back

3x + 4y = 20

Front

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

Back

Rearrange the equation to get all terms involving x and y on one side and the constant on the other side.