Jaelynn O.
asked • 10/06/20What is the equation in slope-intercept form of a line that is parallel to y=−2x+5 and passes through the point (4, 0)?
help please, i only need this one question to help me pass a test
More
2 Answers By Expert Tutors
Ryan K. answered • 10/06/20
Tutor
4.9
(23)
Mechanical Engineer, Math and Science Tutor
Whenever a problem says the equation will be parallel, it means the slopes are equal.
The slope, for equations in mx+b form, is designated by the m. In this case, m = -2
Next, the equation as to enter (4,0)
Out equation with -2x has to be equal to 0 at x=4.
This is how the intercept is calculated
0 = -2(4)+C
Where C ensures the equation is balanced, so C=8.
Answer: y = -2x+8
Tera M.
What if the points that it passes through is (-2,1) and (2,9)?
Report
10/20/21
Robin S. answered • 10/07/20
Tutor
5.0
(676)
Retired Mathematics Certified (Elementary and 6-12 Math) Teacher
Another way to look at at this is to use the point slope formula which some students find a little easier - it really is preference.
Point slope formula y - y1 = m(x - x1). This simply means to use the point and slope to solve.
m = -2 from the equation and the point ( 4, 0) is your x1 and y1
y - 0 = -2 ( x - 4)
y = -2x + 8
Still looking for help? Get the right answer, fast.
Ask a question for free
Get a free answer to a quick problem.
Most questions answered within 4 hours.
OR
Find an Online Tutor Now
Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.
Christine L.
An equation can't be parallel to a line, but another line can. We know the slope of a parallel line is -2 (since that is the slope of the line with equation y=-2x+5). Our line must also pass through (4,0). We can think about this graphically....plot the point (4,0) and then go down 2 and to the right one ....or go up 2 and to the left one. Do this again.....up 2 and to the left one. We will do this three more times, and see that our line must have a y-intercept of 8. So, the equation of our line is y = -2x + 8. (Of course we could also use the point-slope formula, but figuring things out using our own reasoning is so much more fun, and lasting!).11/12/22