What is the mapping rule for a 180° rotation?
1 answer:
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Answer:
a) 1/2
b)2.5
c)17.5
Step-by-step explanation:
The question gives you two points on the line. From this, you can calculate the slope. Since slope is m=, the work for question a is as follows:
m= 5.5-3/6-1
m=1/2 or 0.5
Now, you can use the information given to calculate the y-intercept. Use any of the two points to fill in x and y, and use the slope you just calculated to fill in for m. Fill in the equation and use algebra to isolate the variable and solve for b.
y=mx+b
3=0.5(1)+b
3-0.5=b+0.5-0.5
2.5=b
Finally, plug in all the numbers to find the answer for question c.
y=0.5x+2.5
y=0.5(30)+2.5
y=17.5