Converting Standard Form to Slope-Intercept Form

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form of a linear equation is given by the formula 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 by isolating it on one side of the equation.

Front

What does the slope (m) represent in the slope-intercept form?

Back

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

Front

What does the y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept (b) represents 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 4y + 5x = 10 to slope-intercept form.

Back

y = (-5/4)x + 5/2.

Front

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

Back

y = (3/2)x - 4.

Front

Convert the equation 3x - 2y = 5 to slope-intercept form.

Back

y = (3/2)x - (5/2).

Front

Convert the equation 6y - 2x = 12 to slope-intercept form.

Back

y = (1/3)x + 2.

Front

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

Back

The coefficients A, B, and C represent the relationship between x and y in the linear equation, where A and B determine the slope and direction of the line.