Question

Find the intercepts (if an answer does not exist enter DNE) be sure to graph the line as well

Answer 1

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:

$x\text{ = }\frac{30}{15}\text{ = 2}$

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:

$15(0)+10y=30$

this is equivalent to:

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

this is equivalent to:

$10y\text{ = 30}$

solving for y, we get:

$y\text{ = }\frac{30}{10}=\text{ 3}$

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 :

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