Question

2x+y=8 write coordinates where the line intersect at x axis and y axis
(pls write the whole ans in steps)

Answer 1

Step-by-step explanation:

Explanation:

2x + y = 8 is the equation of a straight line. When this line crosses the x-axis the y-coordinate will be zero. By substituting y = 0 into the equation we will find the corresponding x-coordinate at this point.

y = 0 : 2x = 8 and so x = 4 hence point (4 , 0 ) on the x-axis .

Similarly, when the line crosses the y-axis the x-coordinate will be zero and by substituting x = 0 into the equation we will find the corresponding y-coordinate at this point.

x = 0 : y = 8 hence point (0 , 8 ) on the x-axis.

Answer 2

At X axis, it intersects at (4,0)

At Y axis, it intersects at (0,8)

Step-by-step explanation:

Whrn it intersects at X axis, the point's coordinates will be (x,0)

2x + y = 8

2x + 0 = 8

2x = 8

x = 4

So, point on X axis is (4,0)

On Y axis, coordinates of the point are (0,y)

2x + y = 8

0 + y = 8

y = 8

So, point on Y axis is (8,0)

Hope that helps

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