Question

Question #45625

Answer 1

graph{x-23 [-28.83, 42.4, -30.3, 5.32]}

Explanation:

The equation is in slope-intercept form `y=mx+b`, where `m` is slope and `b` is y-intercept.

Here, we do not see a visible slope , but it is `1/1`, or the parent linear function `f(x)=x`. Your y-intercept is `-23` because the equation can also be written as `y=x+(-23)\rArrx-23`.

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Another method is to apply transformation rules . An equation with parameters `f(x)+a` or `y+a` would result in up/down shifting of coordinates, from the parent graph.

Your `a` is negative , so you will shift downwards. The simplest way is to take the origin point, plot it 23 units down from (0,0) or (0,-23), and then plot the other points accordingly based on the parent function `f(x)=x`.