LT.4: Students convert standard form to slope-intercept form

Front

What is the slope-intercept form of a line?

Back

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

Front

What does the variable 'm' represent in the slope-intercept form?

Back

'm' represents the slope of the line, indicating how steep the line is and the direction it goes.

Front

What does the variable 'b' represent in the slope-intercept form?

Back

'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

What is standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

Which of the following is a step to convert from standard form to slope-intercept form?

Back

To convert from standard form to slope-intercept form, isolate y on one side of the equation.

Front

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

Back

The first step is to add 2x to both sides of the equation.

Front

How do you identify if an equation is in standard form?

Back

An equation is in standard form if it can be expressed as Ax + By = C, where A, B, and C are integers.

Front

What is the first step to solve for slope-intercept form in the equation -x + 4y = 11?

Back

The first step is to add x to both sides of the equation.

Front

What is the relationship between standard form and slope-intercept form?

Back

Standard form (Ax + By = C) can be converted to slope-intercept form (y = mx + b) by isolating y.

Front

What does it mean to convert an equation to slope-intercept form?

Back

Converting to slope-intercept form means rewriting the equation so that y is isolated on one side, showing the slope and y-intercept.