SOLUTION: Write the equation of the line passing through each of the given points with the indicated slope. Give your results in slope-intercept form, where possible. (Rewrite into standard

Algebra ->  Linear-equations -> SOLUTION: Write the equation of the line passing through each of the given points with the indicated slope. Give your results in slope-intercept form, where possible. (Rewrite into standard      Log On


   

Question 69152: Write the equation of the line passing through each of the given points with the indicated slope. Give your results in slope-intercept form, where possible.
(Rewrite into standard form)
(0,5), m = -3/5
Found 2 solutions by checkley75, Earlsdon:
Answer by checkley75(3666) About Me  (Show Source):
You can put this solution on YOUR website!
Y=mX+b IS THE STANDARD LINE FORMULA WITH m=SLOPE & b=Y INTERCEPT.
TO FIND THE Y INTERCEPT WE SUBSTITUTE THE POINT VALUES FOR X&Y (0,5) THUS WE GET
5=-3/5*0+b
5=b THEREFORE THE EQUATION IS
Y=-3/5X+5

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The slope-intercept form is:
y+=+mx%2Bb Substituting m+=+-%283%2F5%29, you get:
y+=+-%283%2F5%29x+%2B+b To find the value of b, substitute the x- and y-coordinates of the given point and solve for b.
5+=+-%283%2F5%29%280%29%2Bb Simplify.
5+=+b
The final equation in slope-intercept form is:
y+=+-%283%2F5%29x%2B5 Convert this to standard form: ax%2Bby+=+c
y+=+-%283%2F5%29x%2B5 Multiply through by -5.
-5y+=+3x-25 Add 5y to both sides.
0+=+3x%2B5y-25 Finally, add 25 to both sides.
3x%2B5y+=+25