SOLUTION: Find the equation of the line through the point (6,6) and parallel to the point y=6-(x/2). Express the equation of the line in slope-intercept form, y=mx+b.
My first step was to
Algebra.Com
Question 1200256: Find the equation of the line through the point (6,6) and parallel to the point y=6-(x/2). Express the equation of the line in slope-intercept form, y=mx+b.
My first step was to put the (6,6) into y=mx+b
6=-(1/2)(6)+b -> 6=-(6/2)+b -> b=(18/2)? so then y=-(1/2)x+(18/2)
If someone wouldn't mind going over the work I would greatly appreciate it :)
Found 3 solutions by Alan3354, ikleyn, math_tutor2020:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Find the equation of the line through the point (6,6) and parallel to the point y=6-(x/2). Express the equation of the line in slope-intercept form, y=mx+b.
My first step was to put the (6,6) into y=mx+b
6=-(1/2)(6)+b -> 6=-(6/2)+b -> b=(18/2)? so then y=-(1/2)x+(18/2)
If someone wouldn't mind going over the work I would greatly appreciate it :)
-------------------------
Find the slope of y = 6-(x/2)
In slope-intercept form: y = (-1/2)x + 6
The slope is -1/2
Parallel lines have the same slope.
Use y-y1 = m*(x-x1) where m is the slope and (x1,y1) is the point
y-6 = (-1/2)*(x-6)
y = (-1/2)x + 9 --- same as your answer.
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
.
At this web-site, there is a group of lessons
- Find the slope of a straight line in a coordinate plane passing through two given points
- Equation for a straight line having a given slope and passing through a given point
- Solving problems related to the slope of a straight line
- Equation for a straight line in a coordinate plane passing through two given points
- Equation for a straight line parallel to a given line and passing through a given point
- Equation for a straight line perpendicular to a given line and passing through a given point
that are closely related to your problem.
They cover the entire subject with all inter-related problems in one way.
You have a happy opportunity to learn the subject from these lessons.
Consider them as your textbook, handbook, tutorials and (free of charge) home teacher.
Answer by math_tutor2020(3817) (Show Source): You can put this solution on YOUR website!
It's best to reduce 18/2 to 9.
Therefore, the answer would be y = (-1/2)x+9
As a check, plug the coordinates of (6,6) into that equation.
y = (-1/2)x+9
6 = (-1/2)*6+9
6 = -3+9
6 = 6
Both sides result in the same value, so we get a true equation.
This confirms (6,6) is on the line y = (-1/2)x+9
Furthermore, the two lines y = 6-(x/2) and y = (-1/2)x+9 are parallel since they have the same slope -1/2.
y = 6-(x/2) in green
y = (-1/2)x+9 in blue
I recommend using a tool like Desmos or GeoGebra to graph.
RELATED QUESTIONS
Find the equation of the line parallel to -3 x - 12 y = -16 . and passing through the... (answered by jim_thompson5910)
Find the equation of the line that passes through the point(5,-6) and is parallel to the... (answered by ewatrrr)
Choose the equation of a line passing through the point (-6,-1) and parallel to the line... (answered by stanbon)
write the equation of the line passing through the point (5,-6) and parallel to line... (answered by josgarithmetic)
Find the equation of a line parallel to 4y=2x+6 through the point... (answered by checkley77)
For the line and given point, find the equation of a line that is parallel to the line... (answered by Fombitz)
Y=-6x+6
Find the equation of the line that is parallel to this line and passes through (answered by MathLover1)
How do you write an equation of the line that passes through the point (6, 2) and is... (answered by Ave)
Find the equation of a line described as follows and express your answer in point-slope... (answered by Fombitz)