SOLUTION: Write an equation for the line that passes through (3, 14) and is parallel to the line that passes through (10, 2) and (25, 15)?

Algebra ->  Linear-equations -> SOLUTION: Write an equation for the line that passes through (3, 14) and is parallel to the line that passes through (10, 2) and (25, 15)?      Log On


   

Question 1204122: Write an equation for the line that passes through (3, 14) and is parallel to the line that passes through (10, 2) and (25, 15)?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!



the slope-intercept equation of the function is:
y=mx%2Bb+
where m+is a slope and b is y-intercept

The graph of f passes through (3, 14)
14=m%283%29%2Bb
14=3m%2Bb+

since our line is parallel to the line that passes through (10, 2) and (25, 15), and we know parallel lines have same slope
, use given points of parallel line to find a slope
m=%2815-2%29%2F%2825-10%29=13%2F15

going back to
14=3m%2Bb ....substitute slope
14=3%2813%2F15%29%2Bb+
14=%2813%2F5%29%2Bb+
b=14-13%2F5
b=57%2F5
now we have a slope and y-intercept, so our line is:
y=%2813%2F15%29x%2B57%2F5