Question

Write the equation of the line with the given information in point-slope form. (-4, 6); slope = - 3/4

Answer 1

The point slope form of the equation of a line is

`y-y_1=m(x_{}-x_1)`

where (x1,y1) is the point that the line passes through and m is the slope.

Using the values given, we have

`\begin{gathered} y-6=-(3)/(4)(x-(-4)) \\ y-6=-(3)/(4)(x+4) \end{gathered}`

Therefore the equation written in the point slope form is

`y-6=-(3)/(4)(x+4)`