SOLUTION: Use the given conditions to write an equation for the line in point-slope form. Slope = 4/5, passing through (7, 4)

Algebra ->  Linear-equations -> SOLUTION: Use the given conditions to write an equation for the line in point-slope form. Slope = 4/5, passing through (7, 4)       Log On


   

Question 1176655: Use the given conditions to write an equation for the line in point-slope form.
Slope = 4/5, passing through (7, 4)

Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

y=mx%2Bb
Slope m=+4%2F5, passing through (7,+4)
y=%284%2F5%29x%2Bb........use given point to calculate b
4=%284%2F5%297%2Bb
4=28%2F5%2Bb
4-28%2F5=b
20%2F5-28%2F5=b
b=-8%2F5

y=%284%2F5%29x-8%2F5



Answer by ikleyn(52808) About Me  (Show Source):
You can put this solution on YOUR website!
.

The "point-slope" form of the equation of a straight line is


    y+-+y%5B1%5D = m%2A%28x-x%5B1%5D%29.


In your case  x%5B1%5D = 7;  y%5B1%5D = 4;  m = 4%2F5.



Therefore, you write your equation as


    y - 4 = %284%2F5%29%2A%28x+-+7%29.    ANSWER

Solved.

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Notice that  @MathLover1 writes the equation in other form - in the  "slope intercept form",

while my solution and my answer are in the  "point-slope form",  as it is requested in the problem.