8.AF.6 Equation-Table-Graph

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

If m = 2 and b = -4, what is the equation in slope-intercept form?

Back

y = 2x - 4

Front

What does the slope of a line represent?

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 of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form.

Front

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

Back

The slope can be found by taking the difference in y-values divided by the difference in x-values (rise/run).

Front

What is the slope if the change in y is -1 and the change in x is 4?

Back

The slope is -0.25 (calculated as -1/4).

Front

What is the y-intercept if the equation is y = 3x + 2?

Back

The y-intercept is 2.

Front

If a line has a slope of -4, what does this indicate about the line?

Back

It indicates that for every 1 unit increase in x, y decreases by 4 units.

Front

What is the formula to calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The formula is m = (y2 - y1) / (x2 - x1).

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal.