Write the point slope form of the equation of the line through the given points
1 answer:
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Answer:
y = 3/5x + 6
Step-by-step explanation:
When given two points, it is convenient to start with the 2-point form of the equation of a line, then rearrange it to the form needed for the problem. For points (x1, y1) and (x2, y2), the equation is ...
y = (y2 -y1)/(x2 -x1)·(x -x1) +y1
Filling in the given point coordinates, this is ...
y = (3 -0)/(-5 -(-10))·(x -(-10)) + 0
y = 3/5(x +10)
y = (3/5)x + 6
First define the variables:
c = amount of children
a = amount of adults
Next create the equations to satisfy the conditions:
1) Total group is 12 people:
2) Total cost is $100 with adults costing $10 and children being $6: