Slope and Y-Intercept

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is 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

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

Back

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

Front

If the slope (m) is 3 and the y-intercept (b) is 6, what is the equation of the line?

Back

y = 3x + 6.

Front

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

Back

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

Front

What is the slope of a line that rises 4 units for every 2 units it runs?

Back

The slope is 4/2 = 2.

Front

What is the slope of a horizontal line?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a vertical line?

Back

The slope of a vertical line is undefined.

Front

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

Back

The line descends from left to right.

Front

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

Back

The slope is -3.