4.2 Point Slope Form

Front

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

Back

The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

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

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

Write the equation of the line with slope -2 through the point (7, −1).

Back

y = -2x + 13

Front

Write the equation of the line through the points (−6, −19) and (2, 5).

Back

y = 3x - 1

Front

Write the equation of the line with slope 3/5 through the point (20, 6).

Back

y = 3/5x - 6

Front

What is the slope of a line that is vertical?

Back

The slope of a vertical line is undefined.

Front

What is the slope of a line that is horizontal?

Back

The slope of a horizontal line is 0.

Front

Write the point-slope form of the equation of the line through the point (4, 1) with slope -1.

Back

y - 1 = -(x - 4)