graphing equations practice.

Question

(1,-1),(0,2)
write the equation of the line in slope-intercept form.

Answer 1

To find the equation of the line in slope-intercept form, we first need to find the slope (m) of the line using the given points (1, -1) and (0, 2).

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

Now that we have the slope, we can use one of the points to find the y-intercept (b) of the line.

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

Now that we have the slope and the y-intercept, we can write the equation of the line in slope-intercept form, y = mx + b.

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