A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.
The endpoints of this line segment are at (-2, 1) and (2, -5). What is the slope-intercept equation for this line?
y = -x - 3 | |
y = -1\(\frac{1}{2}\)x - 2 | |
y = x + 3 | |
y = -\(\frac{1}{2}\)x - 2 |