y=mx + b from a graph

Front

What is the equation of a line in slope-intercept form?

Back

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

Front

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

Back

The slope of the line.

Front

What does the letter '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 (m) from two points (x1, y1) and (x2, y2)?

Back

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

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 a horizontal line?

Back

The slope is 0.

Front

What is the slope of a vertical line?

Back

The slope is undefined.

Front

How do you write the equation of a line given the slope and a point (x1, y1)?

Back

Use the point-slope form: y - y1 = m(x - x1).

Front

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

Back

The y-intercept is 4.

Front

How can you determine if a line is increasing or decreasing from its slope?

Back

If m > 0, the line is increasing; if m < 0, the line is decreasing.