SOLUTION: Working on the following problem for 7th grade Algebra:
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of
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Question 921315: Working on the following problem for 7th grade Algebra:
Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. Here is the problem listed: (1, -3);y+2=4(x-1)
Totally lost on where to begin.
Thanks!
Found 2 solutions by josmiceli, MathLover1:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Parallel means it has the same slope
slope =
-----------------
(1,-3)
Use the general point-slope equation:
-------------
Does it go through ( 1,-3 )?
OK
Is it parallel to
?
Same slope -yes
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
an equation in slope-intercept form is: where is a slope and is y-intercept
given:
point (, )
to find: an equation of a line that passes through the given point and is parallel to the graph of the given equation
first write in slope-intercept form; we need to know what a slope is
...as you can see, the slope
you also know that parallel lines have ; so, the line parallel to given line has slope
now, plug it in slope-intercept form:
, now use given point (, ) and substitute for and for
.........solve for
go back to , plug in
....this is an equation of a line parallel to and passes through the point (, )
here is the graph:
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