Writing an Equation from a Graph y = mx + b

Front

What is the slope-intercept form of 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

The slope of the line.

Front

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

Back

The y-intercept of the line.

Front

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

Back

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

Front

If a line has a slope of -1/2, what does this indicate about its direction?

Back

The line decreases as it moves from left to right.

Front

What is the y-intercept of the line represented by the equation y = 3x + 4?

Back

4, because it is the value of y when x = 0.

Front

How can you determine the slope from a graph?

Back

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

Front

What is the slope of the line represented by the equation y = -3x + 1?

Back

-3.

Front

If a line is horizontal, what is its slope?

Back

0.

Front

If a line is vertical, what is its slope?

Back

Undefined.