Equations of Linear Functions

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

How do you identify the slope from an equation in slope-intercept form?

Back

The slope is the coefficient of x in the equation y = mx + b.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b).

Front

If a line has a slope of 3, what does this mean in practical terms?

Back

It means that for every 1 unit increase in x, y increases by 3 units.

Front

Write the equation of a line with a slope of 2 and a y-intercept of -1.

Back

y = 2x - 1.

Front

What is the slope of the line represented by the equation y = -4x + 7?

Back

The slope is -4.

Front

How do you find the slope from a table of values?

Back

Calculate the change in y divided by the change in x (rise/run) between two points.

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that the function is increasing as x increases.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that the function is decreasing as x increases.

Front

Determine the slope and y-intercept from the equation y = 5x + 2.

Back

Slope: 5, y-intercept: (0, 2).