Question

Find the y-intercept and x-intercept of the line -x+2y=4

Answer 1

y-intercept is 2 and x-intercept is -4

Explanation:

The first step is to re-write the equation of the line in slope-intercept form;
`y=mx+c` where m is the slope and c the y-intercept. In this case we have;
`y=(1)/(2) x+2`. To determine the y-intercept we set the x to be equal to zero;
`y=(1)/(2)(0)+2=2` and the y-intercept is thus 2. To determine the x-intercept we set y to be equal to zero and solve for x;
`0=(1)/(2)x+2`. Solving for x yields -4.

Answer 2

The y-intercept and x-intercept of the line are 2 and -4 respectively.

Explanation:

Given equation of line -x + 2y = 4

We have to find the y-intercept and x-intercept of the line.

Consider the given equation of line -x + 2y = 4

the y-intercept of line is the point where the line touches y axis and we know at y axis the coordinate of x is 0.

Thus, putting x = 0 in line equation , we get,

-(0) + 2y = 4

⇒ y =
`(4)/(2)`

⇒ y = 2

the x-intercept of line is the point where the line touches x axis and we know at x axis the coordinate of y is 0.

-x + 2(0) = 4

⇒ x = - 4

Thus, the y-intercept and x-intercept of the line are 2 and -4 respectively.