Slope Intercept Form

Front

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

Back

The slope-intercept form of a linear equation is given by the formula 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 = -2/3x + 4?

Back

In the equation y = -2/3x + 4, the slope (m) is -2/3.

Front

What does the y-intercept represent in the slope-intercept form?

Back

The y-intercept (b) represents the point where the line crosses the y-axis, which occurs when x = 0.

Front

How can you find the y-intercept from the equation y = -2/3x + 2?

Back

To find the y-intercept, set x = 0. In this case, y = -2/3(0) + 2, so the y-intercept is (0, 2).

Front

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

Back

The slope indicates the steepness and direction of the line. A positive slope means the line rises, while a negative slope means it falls.

Front

If a line has a slope of -3 and a y-intercept of 0, what is the equation of the line?

Back

The equation of the line is y = -3x.

Front

What is the value of b in the equation y = mx + b if the line passes through the point (0, 2)?

Back

The value of b is 2, as it represents the y-intercept.

Front

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

Back

To convert from slope-intercept form (y = mx + b) to standard form (Ax + By = C), rearrange the equation to get all terms on one side.

Front

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

Back

The slope of the line is 3.

Front

What does the ordered pair (0, b) represent in the context of a linear equation?

Back

The ordered pair (0, b) represents the y-intercept of the line.