SOLUTION: Write an equation in slope-intercept form for the line that satisfies the following condition. Passes through (8,12, parallel to the line that passes through (12,6) and (37,13)

Algebra ->  Linear-equations -> SOLUTION: Write an equation in slope-intercept form for the line that satisfies the following condition. Passes through (8,12, parallel to the line that passes through (12,6) and (37,13)      Log On


   

Question 526258: Write an equation in slope-intercept form for the line that satisfies the following condition. Passes through (8,12, parallel to the line that passes through (12,6) and (37,13)
Answer by Maths68(1474) About Me  (Show Source):
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Slope of the line passes through (12,6) and (37,13)
m=y2-y1/x2-x1
m=13-6/37-12
m=7/25
Since the lines are parallel their slope will be same.
So required line has a slope 7/25 and passes through the point (8,12)
Standard equation of the line
y=mx+b
slope = m
y-intecept = b
Put the values of slope and points in above equation
12=(7/25)(8)+b
12=56/25+b
12-56/25=b
(300-56)/25=b
244/25=b
Now put the values of b and m in standard equation of the line
y=mx+b
y=(7/25)x+244/25
25y=7x+244