Respuesta :
We need to form the next equation of the line
[tex]y=mx+b[/tex]First, we need to calculate the slope, with the next formula
[tex]m=\frac{y2-y1}{x2-x1}[/tex]so we need two points, we can use either of the points in the line we have in the graph
For example, I will use
P1=(0,3)=(x1,y1)
P2=(-1,-2)=(x2,y2)
[tex]m=\frac{-2-3}{-1-0}=\frac{-5}{-1}=5[/tex]the slope m=5
the y-intercept (b) we can find it in two ways the first is observing the graph the y-intercept is where the line intercepts the y-axis
b=3
Also, we can calculate b with the formula at the begging and using one point
(y-3)=m(x-0)
we clear x
y=mx+3
then by the form, we can assume the value of b
b=3
