Question

Determine the intercepts of the line that correspond to the following table of values.

x | y
-24 -2
-15 -8
-6 -14

y=?
x=?

Answer 1

(-24,-2)(-15,-8)
slope = ( - 8 - (-2) / (-15 - (-24) = (-8 + 2) / (-15 + 24) = -6/9 = - 2/3

y = mx + b
slope(m) = -2/3
use any of ur points (-24,-2)...x = -24 and y = -2
now we sub and find b, the y int.
-2 = -2/3(-24) + b
-2 = 16 + b
-2 - 16 = b
-18 = b

so ur equation is : y = -2/3x - 18

now in y = mx + b form, the y int is in the b position
y = mx + b
y = -2/3x - 18
so ur y intercept is -18 or (0,-18) <=====

to find the x int, sub in 0 for y and solve for x
y = -2/3x - 18
0 = -2/3x - 18
2/3x = -18
x = -18 * 3/2
x = - 54/2 = -27....and ur x intercept is -27 or (-27,0) <===