Question

Find an equation of the line that goes through the points (7,8) and (4,-8). Write your answer in the form y=mx+b .y= x+ Preview m : ; Preview b : Write your answers as integers or as reduced fractions in the form A/B.Submit QuestionQuestion 2

Answer 1

For this question we will use the two points formula for the equation of a line:

$y-8_{}=\frac{-8-8}{4-7}(x-7)\text{.}$

Solving for y we get:

$\begin{gathered} y-8=\frac{-16}{-3}(x-7), \\ y-8=\frac{16}{3}x-\frac{112}{3}, \\ y=\frac{16}{3}x-\frac{112}{3}+8, \\ y=\frac{16}{3}x-\frac{88}{3}. \end{gathered}$

Answer:

$y=\frac{16}{3}x-\frac{88}{3}.$