Finding Slope and Y-intercept from Tables and Graphs

Front

What is the y-intercept?

Back

The y-intercept is the point where a line crosses the y-axis on a graph.

Front

What does 'b' represent in the equation y=mx+b?

Back

'b' represents the y-intercept of the line.

Front

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

Back

The slope (m) can be found by taking the difference in y-values divided by the difference in x-values between two points.

Front

What is the formula for slope?

Back

The formula for slope is 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, the y value increases by 2 units.

Front

How can you identify the y-intercept from a graph?

Back

The y-intercept can be identified as the point where the line intersects the y-axis.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

If a line passes through the points (1, 3) and (4, 9), what is the slope?

Back

The slope is (9 - 3) / (4 - 1) = 6 / 3 = 2.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line is decreasing as it moves from left to right.