For each situation, determine the slope and y-intercept if the graph of the equation that describes the situation.
John gets a new job and receives a 500 dollar signing bonus. After that, he makes 200 dollars a day.

Respuesta :

So the slope is 200 as he gains $200 each day

and the y intercept is 500, since he receives the $500 only once

y = 200x + 500

The slope and y-intercept if the graph of the equation that describes the situation are;

y-intercept = 500

slope = $200 per day

Formula for equation of a line in slope intercept form is given as;

y = mx + c

where;

m is slope

c is y-intercept

  • Now, he receives a $500 dollar signing bonus. This means it is the money he received before starting the job. This means that;

y is the amount made

x is the number of days

Thus;

$500 dollar signing bonus represents the value of y when x is zero.

Thus, the y-intercept is c = 500

After that sign on bonus, he makes $200 per day. This means that it is the value of m in the slope intercept form.

Thus; slope is m = $200 per day

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