SOLUTION: Write the equation of the line passing through the given point with the indicated slope. Give your results in slope-intercept form. Point : (0,5) Slope: m=-3/5

Algebra ->  Points-lines-and-rays -> SOLUTION: Write the equation of the line passing through the given point with the indicated slope. Give your results in slope-intercept form. Point : (0,5) Slope: m=-3/5       Log On


   



Question 102063: Write the equation of the line passing through the given point with the indicated slope.
Give your results in slope-intercept form.
Point : (0,5)
Slope: m=-3/5

Found 2 solutions by jim_thompson5910, MathLover1:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!

If you want to find the equation of line with a given a slope of -3%2F5 which goes through the point (0,5), you can simply use the point-slope formula to find the equation:


---Point-Slope Formula---
y-y%5B1%5D=m%28x-x%5B1%5D%29 where m is the slope, and is the given point

So lets use the Point-Slope Formula to find the equation of the line

y-5=%28-3%2F5%29%28x-0%29 Plug in m=-3%2F5, x%5B1%5D=0, and y%5B1%5D=5 (these values are given)


y-5=%28-3%2F5%29x%2B%28-3%2F5%29%28-0%29 Distribute -3%2F5

y-5=%28-3%2F5%29x%2B0 Multiply -3%2F5 and -0 to get 0

y=%28-3%2F5%29x%2B0%2B5 Add 5 to both sides to isolate y

y=%28-3%2F5%29x%2B5 Combine like terms 0 and 5 to get 5
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Answer:


So the equation of the line with a slope of -3%2F5 which goes through the point (0,5) is:

y=%28-3%2F5%29x%2B5 which is now in y=mx%2Bb form where the slope is m=-3%2F5 and the y-intercept is b=5

Notice if we graph the equation y=%28-3%2F5%29x%2B5 and plot the point (0,5), we get (note: if you need help with graphing, check out this solver)

Graph of y=%28-3%2F5%29x%2B5 through the point (0,5)
and we can see that the point lies on the line. Since we know the equation has a slope of -3%2F5 and goes through the point (0,5), this verifies our answer.

Answer by
MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
Point : 0,5
Slope: m+=+-%283%2F5%29
the slope+intercept+formwhere m is the slope and b is the y-intercept:
y+=+mx+%2B+b+
Now we have the slope -3%2F5 and a point 0,5 so we can use the formula again
y-y1+=+m+%2A%28x-x1%29
y-5+=+-%283%2F5%29%2A%28x-0%29
y-5+=+-%283%2F5%29%2A%28x%29
y++=+-%283%2F5%29%2Ax+%2B5