Y= mx + b 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

What does 'm' represent in the equation y = mx + b?

Back

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

Front

What does 'b' represent in the equation y = mx + b?

Back

'b' represents the y-intercept, the point where the line crosses the y-axis.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

If a line has a slope of -5/4, what does this indicate about its direction?

Back

A slope of -5/4 indicates that the line descends from left to right.

Front

What is the rise in the slope formula?

Back

The rise is the change in the y-values (vertical change) between two points.

Front

What is the run in the slope formula?

Back

The run is the change in the x-values (horizontal change) between two points.

Front

If the rise is 7 and the run is 4, what is the slope?

Back

The slope is m = rise/run = 7/4.

Front

How do you write the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point.

Front

What is the y-intercept of the line y = 2x + 3?

Back

The y-intercept is 3, which is the value of y when x = 0.