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

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

Convert the equation y = 3x + 2 into standard form.

Back

3x - y = -2

Front

Which of the following is in standard form? y = 3x - 5, 3x + 16 = 5y, 2/3 x + 9/13 y = 21, 5x + 7y = -12

Back

5x + 7y = -12

Front

What does Ax + By = C represent?

Back

It represents the standard form of a linear equation.

Front

Convert the equation 8x = 9y + 10 into standard form.

Back

8x - 9y = 10

Front

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

Back

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

Front

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

Back

To find the slope from Ax + By = C, rearrange it to slope-intercept form (y = mx + b) and identify m.

Front

What is the relationship between standard form and slope-intercept form?

Back

Standard form can be converted to slope-intercept form to easily identify the slope and y-intercept.

Front

What is the significance of the coefficients A and B in the standard form?

Back

A and B determine the orientation and steepness of the line represented by the equation.

Front

Convert the equation 2x + 3y = 6 into slope-intercept form.

Back

y = -rac{2}{3}x + 2