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help please and thankyou Write an equation that represents the graph of the line shown in the coordinate plane below.

Help Please And Thankyou Write An Equation That Represents The Graph Of The Line Shown In The Coordinate Plane Below class=

Sagot :

Slope intercept-form equation:

y=mx+b

Where:

m= slope

b= y-intercept

by looking at the graph we can see that the line crosses the origin (0,0), so it crosses the y-axis at x=0.

b=0

For the slope:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

point 1= (x1,y1)= (-2,-4)

Point2= (x2,y2)= (4,8)

Replacing:

[tex]m=\frac{8-(-4)}{4-(-2)}=\frac{12}{6}=2[/tex]

So the final expression:

y= 2x