Answer:
y = -(6/5)x + 2.8
Explanation:
We look for an equation of the form y=mx+b, where m is the slope and b the y-intercept (the value of y when x = 0).
Slope can be calculated with the two given points, (-1,4) and (4,-2). Slope (m) is also known as the "Rise/Run." Rise is the change in y for the Run, the change in x:
With the points in the order of (-1,4) and (4,-2), calculate both.
Rise = (-2 - 4) = -6 [Subtract the first value of y from the second]
Run = (4 - (-1)) = 5 [Subtract the first value of x from the second]
Rise/Run is the slope, m = (-6/5)
Now we can write y = -(6/5)x + b
To find b, enter either of the two given points and solve for b:
y = -(6/5)x + b
y = -(6/5)x + b for (-1,4)
4 = -(6/5)*(-1) + b
4 = (6/5) + b
b = 4 - (6/5)
b = 4 - 1.2
b = 2.8
The equation is y = -(6/5)x + 2.8
See attached graph.