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Maths-

General

Easy

Question

4x - 5y = 2
The graph of the equation above in the xy-plane is a line. What is the x-coordinate of the x-intercept of the line?

The correct answer is: 0.5

Step by step explanation:
Given:
Equation of line: 4x - 5y = 2
Step 1:
Find x intercept:
Line intersect the x-axis when y-cordinate is zero.
Step 2:
Put y = 0 in any 4x - 5y = 2
∴ 4x - 5(0) = 2
⇒ 4x = 2
⇒ x = $2 over 4$
⇒ x = $1 half$
∴ the point at which line meets x-axis is ( $1 half$ , 0)
So, the x-intercept of line is $1 half$ .

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