An employee compiled sales data for a company once each month. The scatter plot below shows the sales (in multiples of $1000) fo
r the company over time (in months). The equation represents the linear model for this data.
y = 0.94x + 12.5
According to the model, how much do the company's sales increase per month?
$940
$1250
$5000
$9400
$12,500
A graph measuring sales in relation to time. A line indicates that sales increase as time increases
y = 0.94x + 12.5
According to the model, how much do the company's sales increase per month?
$940
$1250
$5000
$9400
$12,500
A graph measuring sales in relation to time. A line indicates that sales increase as time increases
2 answers:
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Answers:
Line A is parallel to line D.
Line A is perpendicular to line C.
Line C is perpendicular to line D.
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Explanation:
Let's use the slope formula to calculate the slope of the line through (-1,-17) and (3,11)
The slope of line A is 7
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Now let's find the slope of line B.
-------------
Now onto line C.
-------------
Lastly we have line D.
------------------------------
Here's a summary of the slopes we found
Recall that parallel lines have equal slopes, but different y intercepts. This fact makes Line A parallel to line D.
Lines A and C are perpendicular to one another, because the slopes 7 and -1/7 multiply to -1. In other words, -1/7 is the negative reciprocal of 7, and vice versa. These two lines form a 90 degree angle.
Lines C and D are perpendicular for the same reasoning as the previous paragraph.
Line B unfortunately is neither parallel nor perpendicular to any of the other lines mentioned.
You can use a graphing tool like Desmos or GeoGebra to verify these answers.