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Find the x- and y-intercepts of the line 2x 16y=– 20.

User Jayjyli
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1 Answer

4 votes

Answer:

x intercept (-10,0)

y intercept (0,-(5/4))

Explanation:

The x and y intercepts are the following points:

x intercept (x,0)

y intercept (0,y)

In other words, we want the value of x or y when their other coordinate (y or x) is equal to zero.

Let's assume the correct equation is

2x + 16y=– 20 [not "2x 16y=– 20"]

Rearrange to standard slope-intercept format:

2x + 16y=– 20

16y= -2x – 20

y= -(2/16)x – (20/16)

y = -(1/8)x - (5/4)

Now find the values the intercepts:

x intercept (x,0)

y = -(1/8)x - (5/4)

0 = -(1/8)x - (5/4)

(1/8)x = - (5/4)

x = -(5/4)*8

x = -40/4 or -10

y intercept (0,y)

y = -(1/8)x - (5/4)

y = -(1/8)*0 - (5/4)

y = -(5/4)

x intercept (-10,0)

y intercept (0,-(5/4))

See the attached graph.

Find the x- and y-intercepts of the line 2x 16y=– 20.-example-1
User Helge Klein
by
8.7k points

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