Write the equation of the line in slope-intercept form.

(points:)
(0 , 2)
(1 , -1)

1 answer

First, we need to find the slope of the line using the given points.

Slope (m) = (y2 - y1) / (x2 - x1)
Slope (m) = (-1 - 2) / (1 - 0)
Slope (m) = -3 / 1
Slope (m) = -3

Now, we can use the slope-intercept form of a linear equation: y = mx + b and substitute the slope and one of the points given.

Using the point (0, 2):
2 = -3(0) + b
b = 2

So, the equation of the line in slope-intercept form is:
y = -3x + 2