Derive the equation of the line in slope-intercept form. (1 point)
(0,2)(1,-1)
To derive the equation of the line in slope-intercept form, we first need to find the slope (m) of the line. The slope is given by the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the given coordinates (0, 2) and (1, -1):
m = (-1 - 2) / (1 - 0)
m = -3 / 1
m = -3
Now that we have the slope (m = -3), we can use the slope-intercept form of a line, which is:
y = mx + b
where b is the y-intercept. To find the y-intercept, we can substitute one of the given points into the equation and solve for b.
Using the point (0, 2):
2 = -3(0) + b
2 = b
So the y-intercept (b) is 2.
Therefore, the equation of the line in slope-intercept form is:
y = -3x + 2