Linear Equations: Word Problems and Beyond

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 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 a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates that the line is vertical.

Front

How do you write an equation in slope-intercept form from two points?

Back

First, find the slope using the two points, then use one of the points to solve for the y-intercept (b) and write the equation as y = mx + b.

Front

What is the y-intercept in the equation y = 3x + 4?

Back

The y-intercept is 4.

Front

If a family pays $625 for one child and $225 for each additional child, what is the equation representing the total cost (y) for x additional children?

Back

y = 225x + 625.

Front

What is the equation of a line with a slope of -4 that passes through the point (0, 16)?

Back

The equation is y = -4x + 16.

Front

How do you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope.

Front

What is the slope of the line represented by the equation y = -2x + 5?

Back

The slope is -2.