slope intercept form word problems

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 the y-intercept represent in a linear equation?

Back

The y-intercept (b) represents the value of y when x = 0, indicating where the line crosses the y-axis.

Front

If a line has a slope of -3, what does this indicate about the line's direction?

Back

A slope of -3 indicates that the line is decreasing; for every 1 unit increase in x, y decreases by 3 units.

Front

Write the equation of a line with a slope of 2 that passes through the point (1, 3).

Back

The equation is y = 2x + 1.

Front

What is the significance of the initial fee in a linear cost equation?

Back

The initial fee is the fixed cost that does not change with the number of items produced or sold.

Front

How do you interpret the slope in a real-world context?

Back

The slope represents the rate of change; for example, in a cost equation, it indicates the cost per item.

Front

Write an equation in slope-intercept form for a line with a slope of -4 that passes through (2, 5).

Back

The equation is y = -4x + 13.

Front

What is the first step to write an equation in slope-intercept form from two points?

Back

First, calculate the slope (m) using the two points.

Front

If a line's equation is y = 5x - 10, what is the y-intercept?

Back

The y-intercept is -10.