Linear Equations

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 identify the slope in the equation y = -x + 2?

Back

The slope (m) in the equation y = -x + 2 is -1.

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, which is the point where the line crosses the y-axis.

Front

How can you find the y-intercept from the equation y = -2x + 5?

Back

The y-intercept is the value of y when x = 0. For the equation y = -2x + 5, the y-intercept is 5.

Front

If the slope (m) is -1/3, what does this indicate about the line's direction?

Back

A slope of -1/3 indicates that the line descends from left to right, meaning for every 3 units you move to the right, the line moves down 1 unit.

Front

What is the slope of the line represented by the equation y = 3x + 6?

Back

The slope (m) of the line represented by the equation y = 3x + 6 is 3.

Front

How do you convert the equation y = 2x + 1 into standard form?

Back

To convert y = 2x + 1 into standard form (Ax + By = C), rearrange it to -2x + y = 1 or 2x - y = -1.

Front

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between the variables; a positive slope means the line rises, while a negative slope means it falls.

Front

How can you determine the slope from two points (x1, y1) and (x2, y2)?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

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