Standard Form to Slope Intercept Form

Front

What is the standard form of a linear equation?

Back

Front

How do you convert from standard form to slope-intercept form?

Back

Front

What is slope-intercept form?

Back

Front

What does the slope of a line represent?

Back

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

Front

What is the y-intercept in slope-intercept form?

Back

Front

Convert the equation 5x + 2y = 10 to slope-intercept form.

Back

y = -rac{5}{2}x + 5.

Front

Convert the equation 2x + 4y = 12 to slope-intercept form.

Back

y = -rac{1}{2}x + 3.

Front

Back

To graph this equation, convert it to slope-intercept form: y = rac{1}{2}x + 4.

Front

What does it mean if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What does it mean if two lines are perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.