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

(-10,-3),
(-8,-4)
(-6,-5)
(-4,-6)
(-2,-7)
(0,-8)
(2,-9)
(4,-10)
(6,-11)

1 answer

To find the equation of the line in slope-intercept form, we need to determine the slope (m) and the y-intercept (b).

First, let's calculate the slope using the formula:

m = (change in y) / (change in x)

Using the given points:

m = (-4 - (-3)) / (-8 - (-10))
m = (-4 + 3) / (-8 + 10)
m = -1 / 2

Now that we have the slope, we can use one of the points to find the y-intercept by substituting the values of (x, y) into the slope-intercept form equation: y = mx + b

Using the point (-10, -3):

-3 = (-1/2)(-10) + b
-3 = 5 + b
b = -8

With the values of m = -1/2 and b = -8, the equation of the line in fully simplified slope-intercept form is:

y = (-1/2)x - 8