Answer: The required x-intercept of the given line is [tex]\left(-\dfrac{15}{13},0\right).[/tex]
Step-by-step explanation: We are given to find the x-intercept of the line with the following equation :
[tex]13x+y=-15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
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
[tex]13x+y=--15\\\\\Rightarrow 13x+0=-15\\\\\Rightarrow 13x=-15\\\\\Rightarrow x=-\dfrac{15}{13}.[/tex]
Thus, the required x-intercept of the given line is [tex]\left(-\dfrac{15}{13},0\right).[/tex]
