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

Question

(-1, 2) and (0,-1)
(1 point)
y=
x+(
)

Answer 1

To find the equation of the line in slope-intercept form, we first need to find the slope of the line using the two given points.

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

Now that we have the slope, we can use one of the points to find the y-intercept (b) by plugging in the values into the equation y = mx + b.

Using the point (-1, 2):
2 = -3(-1) + b
2 = 3 + b
b = -1

Now that we have the slope and the y-intercept, we can write the equation in slope-intercept form:

y = -3x - 1