Question

2Select the correct answer from each drop-down menu.The equation of a line is fx +žy=it.The x-intercept of the line isand its y-intercept is

Answer 1

The equation of the line is given as

`\begin{gathered} (3)/(5)x\text{ + }(1)/(3)y\text{ = }(1)/(15) \\ To\text{ find the x intercept, we put y = 0 } \end{gathered}`
`\begin{gathered} (3)/(5)x\text{ + }(1)/(3)(0)\text{ = }(1)/(15) \\ \\ (3x)/(5)\text{ + 0 = }(1)/(15) \\ \\ (3x)/(5)\text{ = }(1)/(15) \\ 3x\text{ }*15\text{ = 5 x 1} \\ \\ \frac{3x\text{ }*15}{3*15}\text{ = }\frac{5}{3\text{ }*15} \\ \\ x\text{ = }(1)/(9) \\ \text{x intercept of the line is ( }(1)/(9),\text{ 0)} \end{gathered}`

To find the y intercept, we put x = 0

`\begin{gathered} \text{From }(3)/(5)x\text{ + }(1)/(3)y\text{ = }(1)/(15) \\ \\ (3)/(5)(0)\text{ + }(1)/(3)y\text{ = }(1)/(15) \\ \\ 0\text{ + }(y)/(3)\text{ = }(1)/(15) \\ \\ (y)/(3)\text{ = }(1)/(15) \\ 15y\text{ = 3} \\ \\ y=\text{ }(3)/(15)\text{ = }(1)/(5) \\ \\ y\text{ intercept of the line is (0, }(1)/(5)) \end{gathered}`