The function y − 3 = 2/5 ( x + 1) will go through which point on the following graph?

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sciencesolve | Teacher | (Level 3) Educator Emeritus

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You may easily find the points where the graph of function intercepts x and y axis.

If the graph intercepts x axis, then y = 0, hence you need to substitute 0 for y in equation of function such that:

`0 − 3 = (2/5) ( x + 1) =gt (2/5) ( x + 1) = -3`

You need to multiply by 5 both sides such that:

`2(x + 1) = -15`

You need to open the brackets such that:

`2x + 2 = -15`

`2x = -15 - 2 =gt 2x = -17 =gt x = -17/2`

Hence, the graph intercepts x axis at `(-17/2,0).`

If the graph intercepts y axis, then x = 0 such that:

`y− 3 = (2/5) (0 + 1) =gt y - 3 = 2/5`

`5y - 15 = 2 =gt 5y = 15+2 =gt 5y = 17`

`y = 17/5`

Hence, the graph intercepts y axis at `(0 , 17/5).`

The picture below shows the where the graph intercepts x and y axis.

Hence, evaluating the intercepting points of the graph to x and y axis yields `(-17/2,0) ` and`(0 , 17/5).`

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