Converting Linear Equations

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is written as Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

What is slope-intercept form?

Back

The slope-intercept form of a linear equation is written as y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert 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 of a line represent?

Back

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

Front

What is the y-intercept of a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

Convert the equation 6x - 4y = 12 to slope-intercept form.

Back

y = \frac{3}{2}x - 3

Front

Convert the equation -4x + 3y = 9 to slope-intercept form.

Back

y = \frac{4}{3}x + 3

Front

Convert the equation -6x - 5y = 30 to slope-intercept form.

Back

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

Front

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

Back

y = -\frac{1}{3}x - 2

Front

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

Back

y = \frac{3}{2}x + 4