Question
4) The equation for line a can be written as y-8=-2(x-4) Line h is parallel to line o and passes through (-5,1) What is the equation of line h?
Solution
4.3
(209 Votos)
Elenice
Mestre · Tutor por 5 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 o, it will have the same slope as line o. We can find the slope of line o by rearranging the equation for line a:
Simplifying this equation, we get:
From this equation, we can see that the slope of line o is -2. Therefore, the slope of line h is also -2.Now, we can substitute the values of the point
and the slope -2 into the point-slope form of the equation:
Simplifying this equation, we get:
Expanding and rearranging the equation, we get:
Adding 1 to both sides of the equation, we get:
Therefore, the equation of line h is
.