How to find x and y intercepts using a Standard Form equation?

Question

Hi, could someone plz explain that to me?

Answer 1

To find the y-intercept, you can just convert the standard form equation into slope-y-intercept form.

For example:
y + 2x - 12 = 0 <-- This is in standard form
y = -2x + 12 <-- This is in slope-y-intercept form. Just isolate y and you can tell that the slope is -2, and the y-intercept is 12.

As for the x-intercept, since the definition of an x-intercept is the point on the line where it intersects with the x-axis (or y=0), substitute y with 0.

Back to the example:
0 = -2x + 12
-12 = -2x
x = 6

Therefore, the x-intercept would be 6.

Of course, you could also substitute x=0 to find the y-intercept, but I find using slope-y-intercept form easier.

Answer 2

those are particular equations. X= 3 is a vertical line, because of the fact it incorporates each and every of the factors the place the x-coordinate is 3. as a result it quite is parallel to the y axis and has undefined slope. It has no y intercept however the x intercept is (3,0) Likewise, y=7 is a horizontal line, with all factors having 7 for the y fee. it quite is parallel to the x axis, has no x intercept, and the y intercept is (07). The slope is 0.

Answer 3

You need to actually think about it.
If x=0 then the line will fall somewhere on the y axis

(think that if you've not moved any units horizontally accross the x-axis then you will still be on the vertical y axis where x=0)

Smilarly the same can be applied to when y=0 you have not moved up or down on the y-axis and so this will determine where the x-intercept is

Hope that was some use - if I could draw a graph on this answer page it would be much clearer, but it is simple when you think about it.

Answer 4

reduce the equation to (x/a)+(y/b) = 1

x-intercept is a and y- intercept is b

for example, if the equation of the line is 2x -3y = 5,

divide by 5 to get { x /(5/2) } + {y /(-5/3)} = 1

comparing x-intercept is 5/2

and y-intercept is (-5/3)

Answer 5

to find xintercept, put 0 in for y. for yintercept put 0 in for x