Question

Find the coordinates of the points where the line represented by the linear equation y=2x-4 intersects x-axis and y-axis.​

Answer 1

Answer:

since given line is y=2x-4

when it cut x axis then y= 0 then

it give x=2

when it cut y axis then x is eual to zero then

it give y= -4

hence intercept on x axis is 2 and on y axis is -4

and coordinate is (2, 0) and (-4, 0)

Answer 2

Answer:

The coordinates of the points where the line represented by the linear equation y=2x-4 intersects the x-axis and y-axis are (2 , 0) and (0 , -4) respectively.

Step-by-step explanation:

Given,

The straight-line equation y = 2x - 4

To find,

x-intercept (i.e. y = 0)

y-intercept (i.e. x = 0)

Concept,

If a straight line equation is y = mx + c then its y-intercept is c, and its x-intercept is -c/m.

Calculation,

Given, straight-line equation y = 2x - 4

Here, m = 2 and c = -4

Hence,

its x-intercept is -c/m

⇒ -(-4)/2

⇒x-intercept of the given straight line equation y = 2x - 4 is 2

And its y-intercept is given by c

⇒ y-intercept of the given straight line equation y = 2x - 4 is -4

Therefore, the coordinates of the points where the line represented by the linear equation y=2x-4 intersects the x-axis and y-axis are (2 , 0) and (0 , -4) respectively.

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