Slope Intercept Word Problems

Front

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

Back

The slope-intercept form is 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, or how much y increases or decreases for each unit increase in x.

Front

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

Back

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

Front

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

Back

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

Front

If a line has a slope of 2, what does this mean?

Back

A slope of 2 means that for every 1 unit increase in x, y increases by 2 units.

Front

Write the equation for a line with a slope of 3 and a y-intercept of 4.

Back

The equation is y = 3x + 4.

Front

What is the significance of a slope of 0?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant from left to right.

Front

How can you determine if a point (x, y) lies on a line represented by an equation?

Back

Substitute the x value into the equation and see if the resulting y value matches the y coordinate of the point.

Front

What is the first step in solving a slope-intercept word problem?

Back

Identify the slope and y-intercept from the problem context.