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Anna007 [38]
3 years ago
7

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

Mathematics
2 answers:
Alex3 years ago
8 0

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.

Vitek1552 [10]3 years ago
5 0

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.

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