Question

What is the equation for the graph shown?

A. y = -6x + 4
B. y = 2/3x – 6
C. y = 3/2x + 4
D. y = 2/3x + 4

Answer 1

y=2/3x+4

Explanation:

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Answer 2

`y = (2)/(3)x + 4`

Explanation:

The formula for finding equation of straight line is given as :

`y = mx + c`

where :

m = slope

c = y - intercept = 4

To calculate the slope , we will use :

slope =
`(y_(2)-y_(1))/(x_(2)-x_(1))`

`x_(1) = -6`

`x_(2) = 0`

`y_(1)= 0`

`y_(2)=4`

substituting into the formula , we have :

slope =
`(4-0)/(0-(-6))`

`m = (4)/(6)`

`m = (2)/(3)`

substituting into the formula for finding equation of line , we have

`y = (2)/(3)x + 4`