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3 votes
50 POINTS!! HELP!

1) What is the equation, in point-slope form, for a line that goes through (8,−4) and has a slope of −5/6 ?

y+4=−5/6(x−8)
y−4=−5/6(x−8)
y+4=−5/6(x+8)
y−4=−5/6(x+8)

2)What is the equation of a line, in point-slope form, that passes through (−8, 1) and has a slope of 5/6 ?

y+1=5/6(x−8)
y+8=5/6(x−1)
y−8=5/6(x+1)
y−1=5/6(x+8)

3) What is the equation in point-slope form of the line that passes through the points (7,5) and (−4,−1) ?

y−1=6/11(x−4)
y+4=11/6(x+1)
y+1=6/11(x+4)
y+1=6/7(x+4)

4) What is the equation in point-slope form of a line that passes through the points (5, −3) and (−2, 9) ?

y+3=−2(x−5)
y+3=−12/7(x−5)
y−3=−2(x+5)
y−3=−12/7(x+5)

5) Plot the line for the equation on the graph.





y−4=−1/4(x−5)

User Kaeros
by
5.5k points

1 Answer

2 votes

i dont have time to do all of it (sorry)

but this is how you do the point and slope questions:

use the equation: y-y1 = m(x - x1)

y1 is the y point you are given

x1 is the x point you are given

m is your slope

substitute all of those in from the question

the first one is:

y --4 = -5/6(x-8)

-- turns into a plus so the answer would be

y+4 = -5/6(x-8)

User Nenad Radak
by
6.1k points