Question

What is the equation of the line shown in this graph

Answer 1

y=-2x+4

Explanation:

The equation of the line is:

y=mx+b

m= slope= (y2-y1)/(x2-x1)

we have two points giver from the graph:

point 1: (1,2)

point 2: (4,-4)

we to find the slope:

m=(-4-2)/(4-1)

m=-6/3

m=-2

we need to find "b"

using the point (1,2)

we have:

2=-2*(1)+b

2=-2+b

so we have b=2+2=4

finally we have that the answer is:

y=-2x+4