(-1,-2)(4,-5)
in Trigonometry Answers by

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

2 Answers

find the equation of the line that passes through (-1,-2)(4,-5)

Start by finding the slope, which can be determined by the
numbers given.

P1    (x1, y1)     (-1, -2)
P2    (x2, y2)     (4, -5)
slope m = (y2 - y1) / (x2 - x1)
m = (-5 - (-2)) / (4 - (-1))
m = (-5 + 2) / (4 + 1)
m = -3 / 5

We now have enough information to find the y-intercept, b.

y = mx + b
y - mx = b

We'll use P2 for this.

b = -5 - ((-3/5) * 4)
b = -5 - (-12/5)  = -5 + (12/5)

Here, we will change the -5 into a fraction.

b = (-25/5) + 12/5)  = -13/5

With the slope and the intercept known, we write the general equation:

y = (-3/5)x - 13/5

Test them with P1. We know x1 = -1; find y1.

y = (-3/5)(-1) - 13/5
y = 3/5 - 13/5 = -10/5 = -2

Verified.
by Level 11 User (78.4k points)

Given (x1,y1) and (x2,y2) =(-1,-2) and (4,-5)
m = y2-y1/x2-x1
m = -5+2/4+1
m = -3/5

y= mx+c
-1=(-3/5)(-2)+c
c= -11/5
y=(-3/5)x--11/5


Trigonometry Help Online

by Level 8 User (30.1k points)

Related questions

Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
85,095 questions
90,230 answers
2,058 comments
59,999 users