Chapter 4 Review

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find 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 and m is the slope.

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

How do you convert from point-slope form to slope-intercept form?

Back

Rearrange the equation y - y1 = m(x - x1) to solve for y.

Front

What is a positive correlation in a graph?

Back

A positive correlation means that as one variable increases, the other variable also increases.

Front

What is a negative correlation in a graph?

Back

A negative correlation means that as one variable increases, the other variable decreases.

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.

Front

How do you determine the slope from two points?

Back

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

Front

What is the equation of a line with slope -2 that passes through the point (1, 4)?

Back

Using point-slope form: y - 4 = -2(x - 1) simplifies to y = -2x + 6.