Slope Intercept 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

What does the slope (m) represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how much y changes for a unit change in x.

Front

What does the y-intercept (b) represent in a linear equation?

Back

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

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

The slope m can be calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

If a line has a slope of 4, what does this mean?

Back

A slope of 4 means that for every 1 unit increase in x, y increases by 4 units.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope of the line is 3.

Front

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

Back

The y-intercept of the line is 5.

Front

Write the equation of a line with a slope of 2 and a y-intercept of -3.

Back

The equation is y = 2x - 3.

Front

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

Back

The slope can represent a rate, such as speed (distance per time) or cost (price per item).

Front

What is the relationship between slope and parallel lines?

Back

Parallel lines have the same slope but different y-intercepts.