MAth Test 4.1-4.3

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 the y-intercept represent in a linear equation?

Back

The y-intercept represents the value of y when x is 0, indicating where the line crosses the y-axis.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

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

Back

The point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

What is the slope of a line that passes through the points (2, 3) and (4, 7)?

Back

The slope (m) is calculated as (y2 - y1) / (x2 - x1) = (7 - 3) / (4 - 2) = 2.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.

Front

What is the equation of a line with a slope of 3 that passes through the point (1, 2)?

Back

Using point-slope form: y - 2 = 3(x - 1) or y = 3x - 1.

Front

How can you find the slope of a line given its graph?

Back

The slope can be found by selecting two points on the line and using the formula (y2 - y1) / (x2 - x1).

Front

What is the relationship between perpendicular lines in terms of their slopes?

Back

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

Front

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

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.