Standard Form to Slope Intercept Form

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you isolate y in the equation -6x + 3y = 9?

Back

Add 6x to both sides and then divide by 3 to get y = 2x + 3.

Front

What does the slope (m) represent in the slope-intercept form?

Back

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

Front

What is the y-intercept (b) in the slope-intercept form?

Back

The y-intercept (b) is the value of y when x = 0, representing where the line crosses the y-axis.

Front

Convert the equation 3x + y = 12 to slope-intercept form.

Back

y = -3x + 12.

Front

How do you solve for y in the equation 10x - 5y = 30?

Back

Add 5y to both sides and then divide by 5 to get y = 2x - 6.

Front

What is the first step to solve the equation -2x - 4y = -12 for y?

Back

Add 2x to both sides.

Front

Convert the equation 2x + y = 41 to slope-intercept form.

Back

y = -2x + 41.

Front

What is the significance of the slope in a graph?

Back

The slope indicates the direction of the line: positive slope means the line rises, negative slope means it falls.

Front

What does it mean if the slope is zero?

Back

A slope of zero indicates a horizontal line, meaning there is no change in y as x changes.