Writing Equations in Standard Form

Front

What is the standard form of a linear equation?

Back

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

Front

How do you convert the equation y = mx + b to standard form?

Back

To convert y = mx + b to standard form, rearrange the equation to the form Ax + By = C by moving all terms involving x and y to one side.

Front

Convert the linear equation y = 2x + 5 to standard form.

Back

-2x + y = 5

Front

Convert the linear equation y = -2x + 3 to standard form.

Back

2x + y = 3

Front

Write an equation in standard form given slope of 5 and y-intercept of 0.

Back

5x - y = 0

Front

Write an equation in standard form given slope of -2/3 and y-intercept of 2.

Back

2x + 3y = 6

Front

Write an equation in standard form given slope of 1 and y-intercept of 5.

Back

x - y = -5

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

How can you identify the slope from the standard form of a linear equation?

Back

From the standard form Ax + By = C, the slope can be found by rearranging to slope-intercept form (y = mx + b) and identifying m.