Slope Intercept Form Review

Front

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

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the y-intercept from a linear equation in slope-intercept form?

Back

The y-intercept is the value of b in the equation y = mx + b, represented as the point (0, b).

Front

What does the 'm' represent in the slope-intercept form of a linear equation?

Back

The 'm' represents the slope of the line, indicating the steepness and direction of the line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

Front

How can you determine the slope from two points on a line?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the y-intercept of the equation y = -4x - 5?

Back

The y-intercept is (0, -5).

Front

If a line has a slope of 3 and a y-intercept of (0, 6), what is the equation of the line?

Back

The equation of the line is y = 3x + 6.

Front

How do you graph a linear equation in slope-intercept form?

Back

To graph a linear equation in slope-intercept form, start at the y-intercept (0, b) and use the slope (m) to determine the rise over run.

Front

What is the slope of the line represented by the equation y = 4x + 3?

Back

The slope of the line is 4.