SOLUTION: Write the equation of a line in slope-intercept form that passes through (4,-2) and is parallel to y=1/2x

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Question 1181785: Write the equation of a line in slope-intercept form that passes through (4,-2) and is parallel to y=1/2x - 7
Found 3 solutions by mananth, MathTherapy, math_tutor2020:
Answer by mananth(16946)   (Show Source):
You can put this solution on YOUR website!
PARALLEL

y = 1/2 x -7
Compare this equation with y=mx+b
slope m = 0.5
The slope of a line parallel to the above line will be the same
The slope of the required line will be 0.5
m= 0.5 ,point ( 4 , -2 )
Find b by plugging the values of m & the point in
y=mx+b
-2 = 0.50 + b
b= -2.50
m= 0.5
Plug value of the slope and b in y = mx +b
The required equation is y =0.5 x + -2.50

Answer by MathTherapy(10552)   (Show Source):
You can put this solution on YOUR website!
Write the equation of a line in slope-intercept form that passes through (4,-2) and is parallel to y=1/2x - 7

That's WWRRROOONNNGGGG! Does this person ever give correct answers? Is this person a minor? Must be, because he/she has very WEIRD writing styles.
I wish he/she would just stick to questions that ask to add 1 + 1, or 2 + 3. Then again, maybe those he/she would get wrong too.
***BTW: Slope of both is . There's no reason to convert it to a decimal, as the other person did.

Answer by math_tutor2020(3817)   (Show Source):
You can put this solution on YOUR website!

The given line is y = (1/2)x - 7
It's in y = mx+b form where m is the slope and b is the y intercept.

We have m = 1/2
Any line parallel to this will have the same slope but different y intercept.

Plug in that value of m, along with (x,y) = (4,-2) and solve for b
y = mx+b
-2 = (1/2)*4+b
-2 = 2+b
-2-2 = b
-4 = b
b = -4

Answer: The equation of the parallel line is y = (1/2)x-4

We can verify this by plugging x = 4 to get
y = (1/2)x-4
y = (1/2)*4-4
y = 2 - 4
y = -2
Showing that (x,y) = (4,-2) is on the line

SOLUTION: Write the equation of a line in slope-intercept form that passes through (4,-2) and is parallel to y=1/2x - 7