Question

What is the equation of the line passing through (-4,0) and (01)

Answer 1

`\begin{gathered} \text{slope, m of the line = }\frac{change\text{ in y}}{change\text{ in x}} \\ \\ m\text{ = }(1-0)/(0-(-4)) \\ m=(1)/(0+4) \\ m=(1)/(4) \end{gathered}`
`\begin{gathered} \text{one point the line is passing through is ( -4, 0)} \\ \text{ using slope and one point form, that is y-y}_1=m(x-x_(1)) \\ we\text{ have} \\ y-0=\text{ }(1)/(4)(x-(-4)\text{ )} \\ y\text{ = }(1)/(4)(x+4) \\ y\text{ = }(1)/(4)x\text{ + }(1)/(4)(4) \\ \\ y=\text{ }(1)/(4)x\text{ + 1} \end{gathered}`