(MCA) 4.4 (Practice) Writing linear Equations in Standard form.

Front

Ax + By = C is __________________

Back

Standard Form

Front

Put this into standard form: y = 3x + 2

Back

3x - y = -2

Front

Put this into standard form: 8x = 9y + 10

Back

8x - 9y = 10

Front

What is the standard form of a linear equation?

Back

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

Front

How do you convert from slope-intercept form to standard form?

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to isolate the variables on one side.

Front

What does the slope-intercept form of a linear equation look like?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the slope of the line represented by the equation 3x + 4y = 16?

Back

The slope is -3/4, found by rearranging the equation to slope-intercept form.

Front

What is the y-intercept of the equation 2x - 3y = 6?

Back

The y-intercept is 2, found by setting x = 0 and solving for y.

Front

How do you find the x-intercept of the equation 3x - 2y = -2?

Back

Set y = 0 and solve for x. The x-intercept is -2/3.

Front

What is the relationship between the coefficients A, B, and C in the standard form of a linear equation?

Back

A, B, and C are integers, and A should be non-negative.