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 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-intercept form represent?

Back

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

Front

What is the slope in the equation y = (4/3)x - 5?

Back

The slope (m) in the equation y = (4/3)x - 5 is 4/3.

Front

What is the y-intercept in the equation y = (4/3)x - 5?

Back

The y-intercept (b) in the equation y = (4/3)x - 5 is -5.

Front

Convert the equation 4x - 3y = 15 to slope-intercept form.

Back

y = (4/3)x - 5.

Front

What is the first step to convert 2x + 4y = 8 into slope-intercept form?

Back

Subtract 2x from each side.

Front

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

Back

y = (1/4)x + (1/4).

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction it moves; a positive slope rises, while a negative slope falls.

Front

What does a y-intercept of 0 indicate in a linear equation?

Back

A y-intercept of 0 indicates that the line passes through the origin (0,0).