Question

Question #35ec7

Answer 1

Intercept for `" "y-y=2x" "->(x,y)->(0,-8)`
Intercept for `" "y=2x" "->(x,y)=(-8/5,-16/5)`

Explanation:

`color(blue)("Assumption: The question as given is correct")`

This is an exercise in thinking before you leap.

Consider the equation: `y-y=2x`

This is the same as `0=2x=>x=0`

Note that `x=0` is the y-axis. So the question is really asking:

What is the y-intercept for `3x+y=-8`?

Consider: `3x+y=-8`

Subtract `3x` from both sides

`y=-3x-8`

Set `x=0` giving:

`y=-8`

So the intercept is `(x,y)->(0,-8)`
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`color(blue)("Assumption: The question as given is not correct")`
Suppose the given `y-y=2x` was meant to be `y=2x`

Then as instructed in the question: read off the values from the graph:

Intercept for `" "y=2x->(x,y)=(-8/5,-16/5)`

These value would be difficult to read off the graph accurately (precise). This implies that `y-y=2x` could be correct.