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Find the x and y intercepts
2ax+2by=4c

2 Answers

4 votes

Final answer:

To find the x-intercept, set y=0 and solve for x. To find the y-intercept, set x=0 and solve for y.

Step-by-step explanation:

To find the x-intercept, we set y = 0 and solve for x. To find the y-intercept, we set x = 0 and solve for y. Let's take the equation 2ax + 2by = 4c as an example:

To find the x-intercept:

  1. Set y = 0: 2ax + 2b(0) = 4c
  2. Simplify the equation: 2ax = 4c
  3. Divide both sides by 2a: x = 2c/a

To find the y-intercept:

  1. Set x = 0: 2a(0) + 2by = 4c
  2. Simplify the equation: 2by = 4c
  3. Divide both sides by 2b: y = 2c/b
User Nola
by
5.3k points
2 votes

Answer:

see explanation

Step-by-step explanation:

Given

2ax + 2by = 4c

To find the x- intercept let y = 0 in the equation and solve for x

2ax + 2b(0) = 4c

2ax = 4c ( divide both sides by 2a )

x =
(4c)/(2a) =
(2c)/(a) ← x- intercept

To find the y- intercept let x = 0 in the equation and solve for y

2a(0) + 2by = 4c

2by = 4c ( divide both sides by 2b )

y =
(4c)/(2b) =
(2c)/(b) ← y- intercept

User Fotinakis
by
5.3k points