Point Slope Form

Front

What is the Point-Slope Form of a linear equation?

Back

The Point-Slope Form is given by the equation: y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

How do you convert Point-Slope Form to Slope-Intercept Form?

Back

To convert from Point-Slope Form (y - y1 = m(x - x1)) to Slope-Intercept Form (y = mx + b), solve for y.

Front

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

Back

'm' represents the slope of the line, indicating the steepness and direction.

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

Write the equation in Point-Slope Form for a line with slope 2 passing through the point (3, 4).

Back

y - 4 = 2(x - 3).

Front

If a line has a slope of -1 and passes through the point (2, 5), what is the Point-Slope Form?

Back

y - 5 = -1(x - 2).

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

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

Back

The slope m is calculated as m = (y2 - y1) / (x2 - x1).

Front

Write the equation in Point-Slope Form for a line with slope -3 passing through the point (1, 2).

Back

y - 2 = -3(x - 1).