Write the equation of the line in slope intercept form there's a table with y and x y numbers are -3 -2 and -1 and x numbers are 0 3 6

Answer 1

To find the equation of the line in slope-intercept form (y = mx + b), we need to first calculate the slope (m) using the points given in the table.

Using the points (0, -3) and (6, -1), the formula for slope is:

m = (y2 - y1) / (x2 - x1)
m = (-1 - (-3)) / (6 - 0)
m = 2 / 6
m = 1/3

Now that we have the slope, we can use one of the points and the slope to find the y-intercept (b). Let's use the point (0, -3) and the slope 1/3:

-3 = (1/3)(0) + b
-3 = b

Now we have the slope (m = 1/3) and the y-intercept (b = -3). Putting these values into the slope-intercept form, the equation of the line is:

y = (1/3)x - 3