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3x+4y=10 use intercept method

User Sheilla
by
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2 Answers

7 votes

Answer:

the intercept method yields the graph of the line passing through the points (10/3, 0) and (0, 5/2)

Explanation:

To use the intercept method, we need to find the x and y intercepts of the equation 3x + 4y = 10.

X-intercept:

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

3x + 4(0) = 10

3x = 10

x = 10/3

Therefore, the x-intercept is (10/3, 0).

Y-intercept:

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

3(0) + 4y = 10

4y = 10

y = 5/2

Therefore, the y-intercept is (0, 5/2).

Now, we plot the x and y intercepts on the coordinate plane and draw a line passing through both points to obtain the graph of the equation 3x + 4y = 10.

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2.5| ●

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3.33

Therefore, the intercept method yields the graph of the line passing through the points (10/3, 0) and (0, 5/2) as shown above.

User Mrusful
by
8.3k points
3 votes
Answer: x intercepts: (10/3,0)
y intercepts: (0,5/2)
User Rmmariano
by
8.5k points

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