Question

Write the equation of the line that passes through the points (6,-1) and (−7,−8). Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answer 1

y+1=7/13(x-6)

Explanation:

the equation for point-slope form is y-y1=m(x-x1), where (x1,y1) is a point and m is the slope

first, we'll find the slope (m)

from two points, the slope is calculated as (y2-y1)/(x2-x1)

we're given (6,-1) and (-7,-8)

we can label the points

x1=6

y1=-1

x2=-7

y2=-8

now substitute into the formula

m=(-8--1)/(-7-6)

m=-7/-13

m=7/13

the slope (m) is 7/13

we already have labeled values for (x1,y1) which we made (6,-1)

substitute our known values into the equation

y--1=7/13(x-6)

simplify

y+1=7/13(x-6)

hope this helps!