Question

Write an equation for the line shown on the graph.

Y= 2/3x - 2
Y= 2/3x + 1
Y= 3/2x + 1
Y= 3/2x - 2

Answer 1

y=2/3x+1

Explanation:

Answer 2

option B: y =2/3x+1

Explanation:

First we know that the equation of the line is:

y=mx+b

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

we have two points given from the graph:

point 1: (3,3)

point 2: (-3,-1)

we to find the slope:

m=(-1-3)/(-3-3)

m= -4/-6

m=2/3 = slope

Now we need to find "b"

using the point (3,3), we have:

3=(2/3)(3)+b

3=2+b

b=3-2

b=1

finally we have

y=(2/3)x+1 = option B