Question

What is the x-intercept of the line with this equation 13x+y=−15 ? Enter your answer in the box. ( , 0)

Answer 1

Answer:  The required x-intercept of the given line is $\left(-\dfrac{15}{13},0\right).$

Step-by-step explanation:  We are given to find the x-intercept of the line with the following equation :

$13x+y=-15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We know that

x-intercept of a line is a point on the line where the line crosses the x-axis, that is y co-ordinate is 0.

Substituting y = 0 in equation (i), we get

$13x+y=--15\\\\\Rightarrow 13x+0=-15\\\\\Rightarrow 13x=-15\\\\\Rightarrow x=-\dfrac{15}{13}.$

Thus, the required x-intercept of the given line is $\left(-\dfrac{15}{13},0\right).$