Question
4) Line g has an equation of y=-(2)/(9)x+6 . Parallel to line g is line h, which passes through the point (3,2) . What is the equation of line h?
Solution
4.1
(287 Votos)
Fernando
Profissional · Tutor por 6 anos
Resposta
To find the equation of line h, 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 h is parallel to line g, it will have the same slope as line g. The slope of line g is
, so the slope of line h is also
.Now we can substitute the values into the point-slope form:
Simplifying this equation, we get:
Finally, we can rearrange the equation to get it in slope-intercept form:
Therefore, the equation of line h is
.