MATH SOLVE

3 months ago

Q:
# Find an equation for the line that passes through the points(-4,-3)and(6,1).

Accepted Solution

A:

Answer:[tex]2x - 5y = 7\:\:or\:\:y = \frac{2}{5}x - 1\frac{2}{5}[/tex]Step-by-step explanation:First, find the rate of change [slope]:[tex]\frac{-y_1 + y_2}{-x_1 + x_2} = m[/tex][tex]\frac{3 + 1}{4 + 6} = \frac{4}{10} = \frac{2}{5}[/tex]Then plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done much swiftly. It does not matter which ordered pair you choose:1 = β
[6] + b 2β
β1β
= by = β
x - 1β
>> Line in Slope-Intercept Form If you need it written in Standard Form:y = β
x - 1β
-β
x -β
x_________ββ
x + y = β1β
[We do not want fractions in our standard equation, so multiply by the denominator to get rid of it.]β5[ββ
x + y = β1β
]2x - 5y = 7 >> Line in Standard Form_______________________________________________β3 = β
[β4] + b β1β
β1β
= by = β
x - 1β
>> Line in Slope-Intercept Form If you need it written in Standard Form:y = β
x - 1β
-β
x -β
x_________ββ
x + y = β1β
[We do not want fractions in our standard equation, so multiply by the denominator to get rid of it.]β5[ββ
x + y = β1β
]2x - 5y = 7 >> Line in Standard Form** You see? I told you it did not matter which ordered pair you choose because you will ALWAYS get the exact same result.I am joyous to assist you anytime.