INT 1 - Lesson 5.3

Front

How is the slope (m) of a line determined?

Back

By calculating the rise over the run.

Front

What is the slope if the rise is 2 and the run is -4?

Back

-1/2

Front

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

Back

The point where the line crosses the y-axis.

Front

What does a solid line on a graph indicate about the inequality?

Back

The inequality is less than or equal to or greater than or equal to.

Front

How can Desmos help in verifying the correct inequality?

Back

By displaying the shaded area of the graph.

Front

Define slope in mathematical terms.

Back

Slope (m) is the ratio of the vertical change (rise) to the horizontal change (run) between two points on a line.

Front

What is the formula for calculating slope?

Back

m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points on the line.

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept (b) is the value of y when x = 0, indicating where the line crosses the y-axis.