- Using Two Points to Find the Slope
The slope of the line that contains the points (2, 3) and (0, −1) is
- Using an Equation to Find the Slope
To find the slope of a line from an equation, put the equation into the slope-intercept form:
y = mx + bThe slope is m. To find the slope of the equation 3 x + 2y = 4, rearrange it:
The slope is.
Using an Equation to Find an Intercept
To find the y-intercept, you can either put the equation into y= mx + b (slope-intercept) form—in which case bis they-intercept—
or you can just plug x = 0 into the equation and solve fory. To find the x-intercept, plug y= 0 into the equation and solve forx.
Finding the Midpoint
The midpoint of two points on a line segment is the average of the x-coordinates of the end points and the average of the y-
coordinates of the end points. If the end points are (x 1 , y 1 ) and (x 2 , y 2 ), the midpoint is The midpoint of (3, 5) and
(9, 1) is or (6, 3).