Question

hi. This is an equation on some math homework and im not sure how to do it. Could you help?Write an equation of the line that is parallel to y=16 and passes through point (−7,43)

Answer 1

From the given equation y=16, it implies that the line has no slope.

Hence, the slope is zero (0).

From the given point:

`\begin{gathered} (-7,43) \\ x_1=-7,y_1=43 \end{gathered}`

The equation of the line is given by the equation:

`m=(y-y_1)/(x-x_1)`
`\begin{gathered} 0=(y-43)/(x-(-7)) \\ 0=(y-43)/(x+7) \\ \text{cross}-\text{multiply} \\ y-43=0 \\ y=43 \end{gathered}`

Hence, the equation of the line is y=43