Writing Linear Equations

Front

What is the formula for a linear equation?

Back

y = mx + b, where m is the slope and b is the y-intercept.

Front

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

Back

'm' represents the slope of the line.

Front

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

Back

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

Front

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

Back

'b' is the y-intercept, the point where the line crosses the y-axis.

Front

If a line has a slope of 1/6, what does this indicate about its steepness?

Back

The line rises 1 unit for every 6 units it runs, indicating a gentle slope.

Front

What is the slope of the line that passes through the points (2,5) and (8,6)?

Back

1/6.

Front

What is the slope of the line that passes through the points (5,7) and (-3,4)?

Back

3/8.

Front

What does a slope of 0 indicate about a line?

Back

The line is horizontal and does not rise or fall.

Front

What does a negative slope indicate about a line?

Back

The line falls as it moves from left to right.

Front

What is the equation of a horizontal line?

Back

y = b, where b is a constant.