Standard Form to Slope Intercept Form

Front

What is the standard form of a linear equation?

Back

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

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 in terms of x.

Front

Convert the equation from standard form to slope-intercept form: 3x - y = 9

Back

y = 3x - 9

Front

What is the slope of the line represented by the equation -6x + 12y = 6?

Back

The slope is 1/2.

Front

Convert the equation from standard form to slope-intercept form: -10x + 5y = 15

Back

y = 2x + 3

Front

Convert the equation from standard form to slope-intercept form: 11x - 4y = 32

Back

y = \frac{11}{4}x - 8

Front

What is the y-intercept of the equation 10x - 12y = -4?

Back

The y-intercept is 1/3.

Front

What does the slope of a line represent?

Back

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

Front

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

Back

The y-intercept is the value of y when x = 0, represented as 'b' in the equation y = mx + b.

Front

How can you find the slope from a standard form equation?

Back

Rearrange the equation into slope-intercept form (y = mx + b) to identify the slope 'm'.