Question
4) The equation of line p is y=(1)/(4)x-8 Line q, which is parallel to line p includes the point (6,-3) What is the equation of line q?
Solution
4.2
(131 Votos)
Bruno
Profissional · Tutor por 6 anos
Resposta
To find the equation of line q, 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 q is parallel to line p, it will have the same slope as line p. The slope of line p is
, so the slope of line q is also
.Now we can substitute the values of the point
and the slope
into the point-slope form equation:
Simplifying this equation gives us:
Finally, we can rearrange the equation to get it in slope-intercept form:
Therefore, the equation of line q is
.