To find equation of the line we need to find out the slope and y intercept
Y intercept is the point where the graph crosses y axis.
In the graph , y intercept is (0,1). so we can also say y intercept is 1.
Now we find out the slope
To find slope we need two points
Lets pick two points from the graph
(0,1) and (-2,4)
Slope m = [tex] \frac{y_2-y_1}{x_2 - x_1} [/tex] =[tex] \frac{4-1}{-2 - 0} [/tex]
m = [tex] \frac{-3}{2} [/tex]
Now we find the equation of the line.
We use y= mx + b
Where m is the slope ( we got m = [tex] \frac{-3}{2} [/tex])
and b is the y intercept ( y intercept is 1 we got)
Replace the values in y=mx+b
y = [tex] \frac{-3}{2} [/tex] x + 1
The equation graphed in the figure is y = [tex] \frac{-3}{2} [/tex] x + 1
