y=mx + b from a graph

Front

What does the equation y = mx + b represent?

Back

It represents the equation of a straight line, where m is the slope and b is the y-intercept.

Front

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

Back

The slope of the line, indicating how steep the line is.

Front

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

Back

The y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the slope (m) from a graph?

Back

By calculating the rise over run between two points on the line.

Front

What is the slope of a line that rises 3 units for every 4 units it runs?

Back

The slope (m) is 3/4.

Front

If a line has a slope of -2, what does this indicate about the line?

Back

The line descends as it moves from left to right.

Front

What is the y-intercept of the line represented by the equation y = 2x + 5?

Back

The y-intercept is 5.

Front

How can you determine the equation of a line from a graph?

Back

Identify the slope and y-intercept from the graph and use the form y = mx + b.

Front

What is the equation of a line with a slope of 1 and a y-intercept of -2?

Back

The equation is y = x - 2.

Front

If a line passes through the point (0, 3), what is the y-intercept?

Back

The y-intercept is 3.