Slope-intercept

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation (y = mx + b). It is calculated as the change in y divided by the change in x (rise/run).

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 find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by 'b' in the slope-intercept form (y = mx + b).

Front

If a line has a slope of -5/3, what does this indicate about its direction?

Back

A slope of -5/3 indicates that the line is decreasing; for every 3 units moved to the right, the line moves down 5 units.

Front

Write the equation of a line with a slope of 4 and a y-intercept of 3.

Back

The equation is y = 4x + 3.

Front

What is the slope of the line represented by the equation y = -3/2x + 4?

Back

The slope of the line is -3/2.

Front

Calculate the slope of the line passing through the points (1, -19) and (-2, -7).

Back

The slope is -4.

Front

What is the y-intercept of the equation y = -2x + 5?

Back

The y-intercept is 5.

Front

If a line has a slope of 2/3, what is the rise when the run is 3?

Back

The rise is 2, since slope = rise/run.