Question
4)) The equation for line j can be written as y=(1)/(8)x+7 . Parallel to line j is line k, which passes through the point (-3,-1) . What is the equation of line k?
Solution
4.2
(229 Votos)
Ayla
Mestre · Tutor por 5 anos
Resposta
To find the equation of line k, we need to use the point-slope form of a linear equation, which is given by:
where
is a point on the line and
is the slope of the line.Since line k is parallel to line j, it will have the same slope as line j. The slope of line j is
, so the slope of line k is also
.Now we can substitute the values into the point-slope form:
Simplifying this equation gives us:
Expanding and rearranging the equation gives us the final equation of line k:
Simplifying further, we get:
Therefore, the is
.