# Algebraically Finding the y- intercept with the Slope and another Point.

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Algebraically Finding the y- intercept with the Slope and another Point

Algebraically Finding the y-intercept Colleen wants to know how much a chick weighs when it is hatched. Colleen tracked one of her chickens and found it grew steadily by about 5.2 grams each day since it was born. Nine days after it hatched, the chick weighed 98.4 grams. Algebraically determine how much the chick weighed the day it was hatched. Since the growth is constant, the situation in linear: The growth (slope) is 5.2 grams per day The chick weighed 98.4 grams (y) after 9 days (x) The equation now has one distinct variable. Solve it. When the chick was hatched, it was day 0. Thus, we need to find the y-intercept. 51.6 grams

Algebraically Finding a x-Value Now Colleen wants to know when the chicken will weigh 140 grams. Algebraically find the answer. Use the Slope- Intercept form: Substitute 140 for y The equation now has one distinct variable. Solve it. Use the slope and y-intercept to write an equation. 17 Days The 140 grams represents a y value.

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