Alg 1 Standard To Slope Int Form

Front

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

Back

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

Front

What does 'm' represent in the equation y = mx + b?

Back

In the equation y = mx + b, 'm' represents the slope of the line.

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

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

Back

The y-intercept of the equation y = -2x + 3 is 3.

Front

What is the slope of the line represented by the equation y = 4x - 1?

Back

The slope of the line represented by the equation y = 4x - 1 is 4.

Front

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

Back

The slope-intercept form is y = -2/3x + 2.

Front

What is the slope of the line represented by the equation y = -1/2x + 5?

Back

The slope of the line represented by the equation y = -1/2x + 5 is -1/2.

Front

What does the term 'slope' indicate 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

How do you find the y-intercept from the equation 3x + y = 12?

Back

To find the y-intercept, set x = 0 and solve for y. For 3(0) + y = 12, y = 12.

Front

What is the y-intercept of the equation y = -3x + 12?

Back

The y-intercept of the equation y = -3x + 12 is 12.