Question

Write an equation for the graph below in terms of xy=______

Answer 1

Given the graph of a line.

We will write the equation of the line using two points lying on the line

As shown, the line passes through the points (0, 1) and (-1, 3)

The general equation of the line is: y = m * x + b

Where (m) is the slope and (b) is the y-intercept

We will find the slope as follows:

`slope=m=(rise)/(run)=(y_2-y_1)/(x_2-x_1)=(3-1)/(-1-0)=(2)/(-1)=-2`

And the value of b = the value of (y) when x = 0

So, b = 1

So, the answer will be, the equation of the line:

`y=-2x+1`