Slope Intercept with tables, graphs, equations, & 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; it indicates how steep the line is.

Front

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

Back

The y-intercept is the value of y when x is 0; it is the point where the line crosses the y-axis.

Front

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

Back

To find the slope, use the formula m = (y2 - y1) / (x2 - x1) using two points from the table.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that as x increases, y also increases; the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases; the line falls from left to right.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates a horizontal line, meaning y does not change as x changes.

Front

What does an undefined slope indicate about a line?

Back

An undefined slope indicates a vertical line, meaning x does not change as y changes.

Front

How can you write an equation from a word problem involving slope?

Back

Identify the initial value (y-intercept) and the rate of change (slope) to form the equation y = mx + b.

Front

If a line has a slope of 2 and a y-intercept of 3, what is the equation of the line?

Back

The equation is y = 2x + 3.