Find the equation for the line that passes through the points ((5/8),(15/32))and((1/3),(1/4))
Give your answer in point-slope form. You do not need to simplify.
3 answers
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Don't let the fractions scare you ....
slope = (15/32 - 1/4)/(5/8 - 1/3)
= (15/32 - 8/32)/(15/24 - 8/24)
= (7/32) / (7/24)
= (7/32)(24/7)
= 3/4
so y - 15/32 = (3/4)(x - 5/8)
y - 15/32 = (3/4)x - 15/32
times 32
32y - 15 = 24x - 15
24x - 32y = 0
3x - 4y = 0
slope = (15/32 - 1/4)/(5/8 - 1/3)
= (15/32 - 8/32)/(15/24 - 8/24)
= (7/32) / (7/24)
= (7/32)(24/7)
= 3/4
so y - 15/32 = (3/4)(x - 5/8)
y - 15/32 = (3/4)x - 15/32
times 32
32y - 15 = 24x - 15
24x - 32y = 0
3x - 4y = 0