MATH SOLVE

6 months ago

Q:
# Create the linear equation from the points (3,3) and (1,-5).

Accepted Solution

A:

Answer:[tex]-4x + y = -9\:or\:y = 4x - 9[/tex]Step-by-step explanation:First, find the rate of change [slope]:[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2} = m \\ \\ \frac{-3 - 5}{-3 + 1} = \frac{-8}{-2} = 4[/tex]Then, plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done much swiftly that way. It does not matter which ordered pair you choose::β5 = 4 + b[tex]\displaystyle -9 = b \\ \\ y = 4x - 9[/tex]If you want it in Standard Form: y = 4x - 9- 4x - 4x_________[tex]\displaystyle -4x + y = -9[/tex]_______________________________________________3 = 4[3] + b 12[tex]\displaystyle -9 = b \\ \\ y = 4x - 9[/tex] y = 4x - 9- 4x - 4x_________[tex]\displaystyle -4x + y = -9[/tex]** 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.