1 Answer

Ding · Answer 1 · 2023-01-14T21:59:10+0000

Question:

Solution:

x-intercept:

the x-intercept is when y= 0. Thus replacing this value into the given equation we get:

$15x+10(0)\text{ = 30}$

this is equivalent to:

$15x+0\text{= 30}$

this is equivalent to:

$15x\text{ = 30}$

solving for x, we get:

$x\text{ = }(30)/(15)\text{ = 2}$

so the point of x-interception is :

$(x,y)\text{ = (2,0)}$

y-intercept:

the y-intercept is when x= 0. Thus replacing this value into the given equation we get:

this is equivalent to:

$0\text{ + 10y = 30}$

this is equivalent to:

$10y\text{ = 30}$

solving for y, we get:

$y\text{ = }(30)/(10)=\text{ 3}$

so the point of y-interception is :

$(x,y)\text{ = (0,3)}$

We can conclude that the correct answer is:

x-intercept :

$(x,y)\text{ = (2,0)}$

y-intercept is :

$(x,y)\text{ = (0,3)}$

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