Slope-Intercept & Point-Slope Form

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, which is the point where the line crosses the y-axis.

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

Back

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

Front

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

Back

y - y1 = m(x - x1), where (x1, y1) is a point on the line.

Front

If a line has a slope of -3, what does this indicate about the line?

Back

The line is decreasing; as x increases, y decreases.

Front

What is the slope of the line represented by the equation y = 4x - 2?

Back

The slope is 4.

Front

How can you convert the slope-intercept form to point-slope form?

Back

Use a point (x1, y1) on the line and the slope m to write y - y1 = m(x - x1).