Write an equation of the line containing the given point and parallel to the given...
Write an equation of the line containing the given point and parallel to the given line.
Answer & Explanation
Given the equation: x+4y=5
Since the equation is parallel to the given line the slope(m)=-1/4
Given the point (2, 5) where .
Use the point-slope formula:
... Equation of the line
the line: x+4y = 5 can be written as:
y = -(1/4)x + 5/4
the slop of the line is -1/4
for a line to be parallel with this line, its slop must be thesame as -1/4
the new line is y=mx+b = -(1/4)x + b
since it contains (2,5)
y=-(1/4) x + 5.5 is the equation of the line