SOLUTION: What is the equation of the line that passes through the points (4, 7) and (5, 2)? a. y = x + 2 b. y = -x – 7 c. y = -3x +5 d. y = -5x + 27

Algebra ->  Linear-equations -> SOLUTION: What is the equation of the line that passes through the points (4, 7) and (5, 2)? a. y = x + 2 b. y = -x – 7 c. y = -3x +5 d. y = -5x + 27       Log On


   



Question 980274: What is the equation of the line that passes through the points (4, 7) and (5, 2)?
a. y = x + 2
b. y = -x – 7
c. y = -3x +5
d. y = -5x + 27

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

the line that passes through the points (4,+7) and (5, 2)

a.
y+=+x+%2B+2.......plug in (x=4,+y=7)
7+=+4+%2B+2
7+%3C%3E+6=>false, this point is not on a line; so, this is not your answer

b.
y+=+-x+%96+7.......plug in (x=4,+y=7)
7+=+-4+%96+7
7+%3C%3E+-11=> false,this point is not on a line; so, this is not your answer
c.
y+=+-3x+%2B5....plug in (x=4,+y=7)
7+=+-3%2A4+%2B5
7+=+-12+%2B5
7+%3C%3E-7=> false, this point is not on a line; so, this is not your answer
d.
y+=+-5x+%2B+27...plug in (x=4,+y=7)
7+=+-5%2A4+%2B+27
7+=+-20+%2B+27
7+=+7=>true, this point lie on a line; so, check the other point
y+=+-5x+%2B+27...plug in(5, 2)
2+=+-5%2A5+%2B+27
2+=+-25+%2B+27
2+=+2=>true, this point lie on a line; so, both points lie on a line and your answer is d y+=+-5x+%2B+27