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For any linear equation ax+by=c, what are the intercepts in terms of a, b, and c?

Sagot :

You plug 0 in for 1 of the variables and solve for the other vice versa
Abidemiokinidn

The x and y-intercept of the expression are (c/a, 0) and (0, c/b)

Given the expression ax + by = c

The y-intercept is the point where x = 0

Substitute x = 0 into the expression:

a(0) + by = c

0 + by = c

by = c

y = c/b

Hence the y-intercept is (0, c/b)

Similarly;

The x-intercept is the point where y = 0

Substitute y = 0 into the expression:

ax + b(0) = c

ax + 0 = c

ax = c

x = c/a

Hence the x-intercept is (c/a, 0)

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