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 Amsco Integrated Algebra I: Writing an Equation Given the Intercepts
This is a free lesson from our course in Amsco's Integrated Algebra
In this lesson you’ll learn how to write an equation given the intercepts. The approach is simpler in this case. You know that with the y and x-intercept the two coordinates are (0, y) and (x, 0). Now find the slope, by using m=y2-y1/x2-x1. Once the slope is figured out; you can write the equation: y=mx+b, 'm' being the slope and ‘b’ being the y-intercept. For example: if y-intercept= 5 and x-intercept= 3, write the equation. To solve this steps are as given below:
• if the x-intercept is 3, one point is (3, 0).
(More text below video...)
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(Continued from above) • if the y-intercept is 5, one point is (0, 5).
• slope of the line from (3, 0) to (0, 5) = (0-5)/(3-0) = -5/3
• solve the resulting equation for y, it gives y = -5/3 x + 5
The equation for the given intercepts, equation is y = -5/3 x + 5, as the final answer.
The video above explains more details on Writing an Equation Given the Intercepts, with the help of several examples and their solutions.

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