Lauren went to a store to buy some clothes. The shirts were selling at a 20% discount. A pair of pants cost $5 less than 3 times
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Answer:
Step-by-step explanation:
We need to find the equation of the line perpendicular to the line 3x+2y=8 and passes through (-5,2).
The given line can be expressed as:
We can see the slope of this line is m1=-3/2.
The slopes of two perpendicular lines, say m1 and m2, meet the condition:
Solving for m2:
Now we know the slope of the new line, we use the slope-point form of the line:
Where m is the slope and (h,k) is the point. Using the provided point (-5,2):
To isolate m, we'll multiply both sides by 8.
We go from m/8 < 4 to m < 32
This describes any number smaller than 32. We aren't including 32 itself, so we have an <u>open circle</u> at 32 on the number line. The <u>shading is to the left</u> since everything to the left of 32 is smaller than 32.
