Question

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

Answer 1

Answer:

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

Step-by-step 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 = $\frac{4}{2}$

⇒ 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.

Answer 2

Answer:

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

Step-by-step 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; $y=\frac{1}{2} x+2$. To determine the y-intercept we set the x to be equal to zero; $y=\frac{1}{2}(0)+2=2$ and the y-intercept is thus 2. To determine the x-intercept we set y to be equal to zero and solve for x; $0=\frac{1}{2}x+2$. Solving for x yields -4.