Question

Write An equation in point slope form of the line thar passes through 7. -4 and has a slope of m-6

Answer 1

The equation in point-slope form is defined as

`\begin{gathered} y-y_1=m(x-x_1) \\ \text{where} \\ m\text{ is the slope} \\ (x_1,y_1)\text{ are the coordinates of a point in the line} \end{gathered}`

Given

a slope of m = -6

a point in the line that passes through (7,-4)

`\begin{gathered} y-y_1=m(x-x_1) \\ \text{Substitute the values from the given} \\ y-(-4)=(-6)(x-7) \\ \\ y-(-4)=-6(x-7) \end{gathered}`