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

What do the variables 'm' and 'b' represent in the equation y = mx + b?

Back

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

Front

How do 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 slope of a line that rises 3 units for every 2 units it runs?

Back

The slope of the line is 3/2.

Front

If a line has a slope of 0, what does that indicate about the line?

Back

A slope of 0 indicates that the line is horizontal.

Front

What is the y-intercept of the line represented by the equation y = 5x + 4?

Back

The y-intercept of the line is 4.

Front

How can you convert the equation 2x + 3y = 6 into slope-intercept form?

Back

To convert to slope-intercept form, solve for y: 3y = -2x + 6, then y = -2/3x + 2.

Front

What is the equation of a line with a slope of -1 and a y-intercept of 3?

Back

The equation is y = -1x + 3 or y = -x + 3.

Front

In the context of a real-world problem, how would you represent a situation where a cost increases by a fixed amount per hour?

Back

You would use the equation C = mh + b, where m is the cost per hour, h is the number of hours, and b is the initial cost.

Front

What does it mean if two lines are parallel in terms of their slopes?

Back

If two lines are parallel, they have the same slope.