The line $2 x + y = 8$ intersect the $x -$ axis at _____

(0, 4)

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(4, 0)

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(0, 8)

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(8, 0)

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Solution

The correct option is B $(4, 0)$
Given the equation of the line is $2 x + y = 8$ , which can be written as,
$\frac{x}{4} + \frac{y}{8} = 1$ .
From this equation we can say that the line intersect the $x -$ axis at $(4, 0)$ .

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Similar questions

Q. At what point will the line x-y = 8 intersect y axis?

A line cuts the x-axis at A(4, 0) and the y-axis at B(0, 8). A variable line PQ is drawn perpendicular to AB cutting the x-axis in P and the y-axis in Q. If AQ and BP intersect at R, find the locus of R.

Q. A line intersects the y-axis and x-axis at P and Q , respectively. If (2,

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5) is the mid-point of PQ, then the coordinates of P and Q are, respectively
(a) (0,

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5) and (2, 0) (b) (0, 10) and (

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4, 0)
(c) (0, 4) and (

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Q. A line intersects the y-axis and x-axis at the points P and Q, respectively. If (2, −5) is the midpoint of PQ, then the coordinates of P and Q, respectively, are

(a) (0, −5) and (2, 0)
(b) (0, −10) and (4, 0)
(c) (0, 10) and (−4, 0)
(d) (0, 4) and (−10, 0)

Q. y − 4 = 0 is the equation of a line
(a) parallel to the x-axis and passing through (4, 0)
(b) parallel to the x-axis and passing through (0, 4)
(c) parallel to the y-axis and passing through (0, 4)
(d) None of these

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The line 2x+y=8 intersect the x−axis at _____

The correct option is B (4,0)Given the equation of the line is 2x+y=8, which can be written as,x4+y8=1.From this equation we can say that the line intersect the x− axis at (4,0).

The line $2 x + y = 8$ intersect the $x -$ axis at _____

The correct option is B $(4, 0)$
Given the equation of the line is $2 x + y = 8$ , which can be written as,
$\frac{x}{4} + \frac{y}{8} = 1$ .
From this equation we can say that the line intersect the $x -$ axis at $(4, 0)$ .