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 from a graph?

Back

To find the slope from a graph, pick two points on the line, calculate the rise (change in y) over the run (change in x).

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of y when x = 0, represented by b in the equation.

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

What is the equation of a line with a slope of -1 and a y-intercept of 4?

Back

The equation is y = -1x + 4 or y = -x + 4.

Front

How can you determine if two lines are parallel?

Back

Two lines are parallel if they have the same slope but different y-intercepts.

Front

What is the equation of a line that passes through the points (1, 2) and (3, 6)?

Back

First, find the slope: (6-2)/(3-1) = 2. Then use point-slope form: y - 2 = 2(x - 1) or y = 2x.

Front

What does it mean if a line has a slope of 0?

Back

A slope of 0 means the line is horizontal, indicating that y does not change as x changes.

Front

What is the function of the table if the output is always 3 less than the input?

Back

The function is y = x - 3.