Question

Given 2 points, write the equation of a line in point-slope form, then convert to slope-interceptform.4) (3, 6) and (8, 6)

Answer 1

First, we have to find the slope

$m=\frac{y2-y1}{x2\text{ - }x1}=\frac{6-6}{8\text{ - }3}=\frac{0}{5}=0$

It is an horizontal line

Point-slope form= = y - 6 = 0 (x - 3)

Slope-intercept = y=mx + b,

let's find b

$\begin{gathered} 6=0(3)+b \\ 6=0+b \\ b=6 \end{gathered}$

y = 0x + 6

y = 6