Graphing 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, indicating the steepness and direction.

Front

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

Back

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

Front

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

Back

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

Front

What is the y-intercept of the equation 2x + 3y = 6?

Back

(0, 2) after rearranging to slope-intercept form.

Front

If a line has a slope of 2, what does this mean?

Back

For every 1 unit increase in x, y increases by 2 units.

Front

What is the slope of the line represented by the equation y = -3x + 5?

Back

-3.

Front

How can you convert the standard form Ax + By = C to slope-intercept form?

Back

Solve for y to get y = (-A/B)x + (C/B).

Front

What is the slope of a horizontal line?

Back

0, because there is no vertical change as x changes.

Front

What is the slope of a vertical line?

Back

Undefined, because there is no horizontal change as y changes.