Question

Hello could you please help me with this problem? Write an equation in standard form for the line that has an undefined slope and passes through (5,-3).

Answer 1

`-3=5m+b`

Step-by-step explanation: We have to write the equation od line in a standard form that has an unknown slope and passes through (5,-3), in general, the equation of a line is as follows:'

`\begin{gathered} y(x)=mx+b\Rightarrow(1) \\ m=(\Delta y)/(\Delta x) \\ b\rightarrow\text{ y-intercept} \end{gathered}`

Passing through a point implies the following:

`(x,y)\Rightarrow(5,-3)`

Plugging the x and y in (1) finally gives the following:

`-3=5m+b`