Converting Standard Form to Slope-Intercept Form Flashcard

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 convert an equation from standard form to slope-intercept form?

Back

To convert from standard form (Ax + By = C) to slope-intercept form (y = mx + b), solve for y in terms of x.

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 = (2/3)x - 2.

Front

Convert the equation 4x + 5y = 20 to slope-intercept form.

Back

y = -4/5x + 4.

Front

Convert the equation -7x + 4y = 28 to slope-intercept form.

Back

y = (7/4)x + 7.

Front

Convert the equation -4x - 6y = 24 to slope-intercept form.

Back

y = -2/3x - 4.

Front

Convert the equation -3x + 2y = 8 to slope-intercept form.

Back

y = (3/2)x + 4.

Front

What is the significance of the coefficients in the equation Ax + By = C?

Back

The coefficients A and B determine the slope and direction of the line, while C represents the position of the line in relation to the axes.