Standard Form to Slope Intercept 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

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

Back

In the slope-intercept form y = mx + b, 'm' represents the slope of the line.

Front

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

Back

In the slope-intercept form y = mx + b, 'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

What is the 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

How can you identify the slope from an equation in slope-intercept form?

Back

The slope can be identified as the coefficient of x in the slope-intercept form y = mx + b.

Front

What is the y-intercept of the equation y = 3x + 1?

Back

The y-intercept of the equation y = 3x + 1 is 1.

Front

If an equation is given in standard form, what is the first step to convert it to slope-intercept form?

Back

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

Front

What is the significance of the coefficients A and B in the standard form of a linear equation?

Back

The coefficients A and B determine the slope and the direction of the line represented by the equation.

Front

Can the slope of a line be negative?

Back

Yes, the slope of a line can be negative, indicating that the line descends from left to right.