Find the equation of the line through (2 , 8) that is parallel to the line
y=3x + 7
Answers
Answer:
The equation of a line parallel to y = 3x + 7 and through the point (8, 6) is
y = 3x - 18
Step-by-step explanation:
Given:
The equation of line
y=3x+7y=3x+7
To find out:
Equation of line parallel to the given line and passing through (8,6)(8,6)
Solution:
Comparing the line y=3x+7y=3x+7 with general equation of line in slope-intercept form y=mx+cy=mx+c
We get
Slope of the line
m=3m=3
A line that is parallel to the given line will also have its slope as 33
Therefore, equation of line having slope 3 and passing through point (8,6)(8,6)
(y-6)=3(x-8)(y−6)=3(x−8)
y-6=3x-24y−6=3x−24
\implies y=3x-18⟹y=3x−18
Hope this answer is helpful.
Know More:
Q: Find the equation of the line parallel to y-axis and drawn through the point of intersection of the lines x – 7y + 5 = 0 and 3x + y = 0.