Standard Form to Slope-Intercept Form

Front

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

Back

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

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.

Front

What does the slope (m) represent in a linear equation?

Back

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

Front

What does the y-intercept (b) represent in a linear equation?

Back

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

Front

Convert the equation 5x - 3y = -9 to slope-intercept form.

Back

y = (5/3)x + 3.

Front

Convert the equation -3y + 5x = 12 to slope-intercept form.

Back

y = -4 + (5/3)x.

Front

What is the first step in converting an equation from standard form to slope-intercept form?

Back

The first step is to isolate the term with y on one side of the equation.

Front

If the slope of a line is 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

What is the significance of a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning y does not change as x changes.

Front

What is the significance of a negative slope?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slanting line.