Final answer:
To write the equation of a line in slope-intercept form, we need to determine the slope and the y-intercept. Given the points (-3, 1) and (3, -2), the slope is -1/2 and the y-intercept is -1/2. Thus, the equation of the line in slope-intercept form is y = -1/2x - 1/2.
Step-by-step explanation:
To write the equation of a line in slope-intercept form, we need to determine the slope and the y-intercept. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.
Given the points (-3, 1) and (3, -2), we can find the slope using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the values from the given points, we have:
m = (-2 - 1) / (3 - (-3)) = -3/6 = -1/2
Now, we can substitute the slope and one of the given points into the slope-intercept form and solve for the y-intercept:
1 = (-1/2)(-3) + b
1 = 3/2 + b
b = 1 - 3/2 = -1/2
Therefore, the equation of the line in slope-intercept form is: y = -1/2x - 1/2
Learn more about Writing the equation of a line in slope-intercept form