Finding Slope and Intercepts

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

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

If two lines are parallel, what can be said about their slopes?

Back

Parallel lines have the same slope but different y-intercepts.

Front

If two lines are perpendicular, what can be said about their slopes?

Back

Perpendicular lines have slopes that are negative reciprocals of each other (m1 * m2 = -1).

Front

Convert the equation 5x - 3y = -9 to slope-intercept form.

Back

y = (5/3)x + 3.

Front

Write an equation for a line with a slope of 5 and a y-intercept of 15.

Back

y = 5x + 15.

Front

What is the equation of a line that walks 12 miles every week?

Back

y = 12x.

Front

How do you determine if two lines are neither parallel nor perpendicular?

Back

If their slopes are different and not negative reciprocals, they are neither parallel nor perpendicular.