Write an equation for the line that passes through the points (1,4) and (2, -4).

-8

Step-by-step explanation:

We can use the formula [ y2-y1/x2-x1 ] to solve.

-4-4/2-1

-8/1

-8

Best of Luck!

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 !