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

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.

Front

Convert the equation 2x + 3y = 6 to Slope-Intercept Form.

Back

y = -2/3x + 2.

Front

What is the first step to convert the equation x - 3y = -9 to Slope-Intercept Form?

Back

Subtract x from both sides.

Front

Identify the form of the equation 5x + 3y = 15.

Back

Standard Form.

Front

Identify the form of the equation y = 3x - 2.

Back

Slope-Intercept Form.

Front

What is the slope of the equation y = 10 - 12x?

Back

-12.

Front

How do you find the slope from the equation in Standard Form (Ax + By = C)?

Back

Rearrange the equation to the form y = mx + b.

Front

What is the significance of the coefficients in the Standard Form of a linear equation?

Back

The coefficients A and B represent the relationship between x and y, while C represents the constant term.