Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, (-12,14) and (6,-1). Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (-12,14) and going to (6,-1):
Rise = (-1 -14) = -15
Run = (6-(-12) = 18
Rise/Run (slope) = -15/18 or -5/6
The equation becomes y = -(5/6)x + b
We can find b by entering either of the two given points and solving for b. I'll pick (6,-1):
y = -(5/6)x + b
-1 = -(5/6)*(6) + b
-1 = -(30/6) + b
b = 4
The equation is y = -(5/6)x +4
Check this with a DESMOS graph (attached).
