SOLUTION: Find the equation of the line containing the point (2,7) and parallel to the line 2x-y=-1

Question 282904: Find the equation of the line containing the point (2,7) and parallel to the line 2x-y=-1
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Here are examples:
Given 2 points example.
Find the equation of the line thru the points (2,1) and (3,5)
---------------------
This is a 2 step process. First find the slope of the line thru the points.
slope, m = diffy/diffx
m = (5-1)/(3-2)
m = 4
---------
Now use y = mx + b with either point to find b, the y-intercept.
y = mx + b
5 = 4*3 + b
b = -7
-------
y = mx + b
y = 4x - 7 is the answer.
------------------------
For further assistance, or to check your work, email me via the thank you note.
----------------------
A line and a point example.
Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2)
-----------------
Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y.
9x+3y = 36
3y= - 9x + 36
y = -3x + 13
The slope, m = -3
------------------
The slope of lines parallel have the same slope.
The slope of lines perpendicular is the negative inverse, m = +1/3
----------------
Use y = mx + b and the point (1,2) to find b.
2 = (1/3)*1 + b
b = 5/3
The equation is y = (1/3)x + 5/3 (slope-intercept form)
x - 3y = -5 (standard form)
------------------------
For further assistance, or to check your work, email me via the thank you note.
RELATED QUESTIONS
parallel to de line y=2x; containing the point (-1,2) find the equation of the... (answered by Fombitz)

Find the equation of the line containing the point (-1,3) and the parallel to the line... (answered by MathLover1)

Write the equation of a line in slope-intercept form that is parallel to the line... (answered by Alan3354)

Find the equation of the line containing the point P(2, 2) and parallel to the graph... (answered by Alan3354)

Find an equation for the line with given properties parallel to the line 2x-y=7... (answered by checkley77)

Write an equation of the line containing the specified point and parallel to the... (answered by ilana)

Write an equation of the line containing the specified point and parallel to the... (answered by Alan3354)

Write an equation of the line containing the specified point and parallel to the... (answered by josgarithmetic,tommyt3rd)

Write the equation of the line containing the point (1,2) and parallel to the line 2x +... (answered by stanbon,jorel1380)