Question

Use point-slope form to write the equation of a line that passes through the point(8, 18) with slope -7/6

Answer 1

The equation of a line in point-slope form is given by the formula

`\begin{gathered} y-y_1=m(x-x_1) \\ \text{Where m = slope } \end{gathered}`

From what we are given,

`\begin{gathered} m=-(7)/(6) \\ x_1=8 \\ y_1=18 \end{gathered}`

Substituting the values, we have

`\begin{gathered} y-y_1=m(x-x_1) \\ y-18=-(7)/(6)(x-8) \\ y-18=-(7)/(6)x+(28)/(3) \\ y=-(7)/(6)x+(28)/(3)+18 \\ y=-(7)/(6)x+(82)/(3) \end{gathered}`

Hence, the answer is

`y=-(7)/(6)x+(82)/(3)`