Question

A line includes the points (1,-5) and (-8, 4). What is its equation in slope Intercept form? ) Write your answer using integers, proper fractions, and improper fractions in simplest form. Х

Answer 1

We will use the two points formula for the equation of a line:

$y-4=\frac{4-(-5)}{-8-1}(x-(-8))\text{.}$

Taking the above equation to its slope-intercept form we get:

$\begin{gathered} y-4=\frac{9}{-9}(x+8), \\ y=-x-8+4, \\ y=-x-4. \end{gathered}$

Answer:

$y=-x-4.$