yes
I did not entirely follow all your steps though.
The way I do it
y = 1 x + 4
m = 1, so my new m must be 1 also if parallel ( I did not follow you here)
point is (-7, 1)
1 = 1(-7) + b
yes b = 8
y = x + 8
I need to check and see if this is correct?
1). The first equation that I am using for my discussion is: y=x+4 and the parallel must past through this given point (-7, 1)
y=x=-4 is the equation and (-7, 1) is the ordered pair
y=x+4 Since I want the new line parallel, I need to change the slope
y-y1=m(x-x1) point of slope
y-y1=1(x-(-7) since it must have the same slope, it must look like
y = x + b,
plug in your new point, (-7, 1)
1 = -7 + 1 ---->b = 8
new equation: y = x+8
6 answers
where is the origin located in this equation?
The origin is always at (0,0)
However none of your lines go through the origin.
However none of your lines go through the origin.
Oh, I see what you are doing.
given
y = x + 4
we want parallel
and through (-7,1)
since y = 1 x + 4
has slope = m = 1
ANY parallel line ALSO has slope = 1
slope = 1 = (y-yp)/(x - x1)
or
1 = ( y - 1 ) / (x - -7)
1 = (y-1) / (x+7)
y-1 = x + 7
y = x + 8
I like my way better, but the slope method works.
given
y = x + 4
we want parallel
and through (-7,1)
since y = 1 x + 4
has slope = m = 1
ANY parallel line ALSO has slope = 1
slope = 1 = (y-yp)/(x - x1)
or
1 = ( y - 1 ) / (x - -7)
1 = (y-1) / (x+7)
y-1 = x + 7
y = x + 8
I like my way better, but the slope method works.
typo yp should be y1
How about this equation, does it have an origin and what is an x and y intercept?
2). My second equation that I am using is: y=-1/2x+1, and the perpendicular must pass through this given point (4, 2).
y=1/2+1 equation and (4, 2) is the ordered pair
Slope m=-1/2
So the slope of perpendicular =-1/m=2
y=2x+b put in point
2=2(4) +b Simplify
b=-6
y=2x-6 my answer in slope-intercept form
2). My second equation that I am using is: y=-1/2x+1, and the perpendicular must pass through this given point (4, 2).
y=1/2+1 equation and (4, 2) is the ordered pair
Slope m=-1/2
So the slope of perpendicular =-1/m=2
y=2x+b put in point
2=2(4) +b Simplify
b=-6
y=2x-6 my answer in slope-intercept form