First of all, Let's find the slope because we need it on the formula for finding the y-intercept.
m = y2 - y1 / x2 - x1
From the points given in the question,
x1 = 1
x2 = 2
y1 = 4
y2 = -4
Plugging in the above formula,
➝ m = -4 - 4 / 2 - 1
➝ m = -8 / 1
➝ m = -8
Now finding the y-intercept
➝ y = mx + b
And if we put in the values from our first point (1, 4) we get
➝ 1 = -8 (4) + b
➝ 1 = -32 + b
➝ b = 1 + 32
➝ b = 33
Required equation of the line:
➝ y = -8x + 33
Carry On Learning !