Someone me ! determine the intercepts of the line that corresponds to the following table of values.

side note: the fraction -35/2 is equivalent to the decimal form -17.5

Explanation:

The x intercept is (-5, 0) as shown in the second row of the table. The x intercept happens when y = 0.

Let's use two of the points in the table to find the slope of the line. I'm going to use the first two rows of points.

m = slope

m = (y2 - y1)/(x2 - x1)

m = (0 - 7)/(-5 - (-7))

m = (0 - 7)/(-5 + 7)

m = -7/2

Plug that into the y = mx+b equation to get

y = mx+b

y = (-7/2)x + b

Now plug in one of the points from the table. I'll use the first row so x = -7 and y = 7 are plugged in to get

y = (-7/2)x + b

7 = (-7/2)*(-7) + b

7 = 49/2 + b

7 - 49/2 = b subtract 49/2 from both sides

14/2 - 49/2 = b

-35/2 = b

b = -35/2

b = -17.5

The y intercept is at (0, -17.5)

i believe the correct answer is b.