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, (5,-3) and (2,-4). 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 (2,-4) and going to (5,-3):
Rise = (-3 - (-4)) = 1
Run = (5 - 2) = 3
Rise/Run (slope) = 1/3
The equation becomes y = (1/3)x + b
We can find b by entering either of the two given points and solving for b. I'll pick (2,-4):
y = (1/3)x + b
-4 = (1/3)*(2) + b
-4 = 2/3 + b [Now you can see why I chose (6,-3)]
b = -4 2/3
The equation is y = (1/3)x - 4 2/3
Check this with a DESMOS graph (attached).
