Linear Equations Test Review

Front

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

Back

The point-slope form of a linear equation is given by the formula: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

What does a horizontal line indicate about its slope?

Back

A horizontal line has a slope of zero.

Front

How do you write the equation of a line given a word problem involving a starting amount and a rate of change?

Back

The equation can be written in the form y = mx + b, where m is the rate of change and b is the starting amount.

Front

What is the general form of a linear equation representing a budget constraint?

Back

The general form is Ax + By = C, where A and B are coefficients representing the quantities of two items, and C is the total budget.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

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

Back

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

Front

How can you determine the slope from two points on a line?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How do you convert a point-slope equation to slope-intercept form?

Back

To convert, solve for y to isolate it on one side of the equation, resulting in the form y = mx + b.

Front

What is the relationship between the slopes of parallel lines?

Back

Parallel lines have the same slope.