Wk 19: Writing Linear Equations from Graphs

Front

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

Back

The 'm' represents the slope of the line.

Front

What is the definition of slope in terms of rise and run?

Back

Slope is defined as rise over run.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y=2x + 3?

Back

The slope is 2.

Front

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

Back

The y-intercept is the value of 'b' where the line crosses the y-axis.

Front

How can you identify the slope from a graph?

Back

The slope can be identified by determining the steepness of the line, calculated as the change in y over the change in x.

Front

What does a positive slope indicate about a line on a graph?

Back

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

Front

What does a negative slope indicate about a line on a graph?

Back

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

Front

What is the slope of the line represented by the equation y=-x + 2?

Back

The slope is -1.

Front

How do you graph the equation y=mx+b?

Back

Start at the y-intercept (b) on the y-axis, then use the slope (m) to find another point.