Question

Use point-slope form to write the equation of a line that passes through the point(-1, 4) with slope 5/6

Answer 1

In the question, we are asked to write the equation of a line that passes through the point (-1, 4) with slope 5/6. This can be seen below.

Step-by-step explanation

The formula is given as

`y-y_1=m(x-x_1)`

y=y coordinate of second point

y_{1}=y coordinate of point one

m=slope

x=x coordinate of second point

x_{1}=x coordinate of point one

Therefore

`\begin{gathered} y-4=(5)/(6)(x-(-1)) \\ y-4=(5)/(6)(x+1) \end{gathered}`

Answer:

`y-4=(5)/(6)(x+1)`