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Since the ratio of mother to daughter is 4:1, the weight of the mother and daughter together is five times the weight of the daughter.
In fact, if the daughter weights pound, the mother weights
pounds, and the total weight is
.
We know that this total is 185 pounds, so we have
So, the daughter weights 37 pounds.
The equation for a line is mx + b = y where m is the slope and b is the y intercept. To find the slope, we need to use the equation .
Therefore, m is equal to -1. Normally, we would then have to plug in m and one of the points to find b. However, because the point (0,5) is the y-intercept (the y-intercept is the point on the line where x is equal to 0), we can skip this step and go straight to forming the final equation, which is .