(-1,19) and (3, 35)How do I turn this into an equation in standard form for the line that passes through these points

Answer:[tex]\displaystyle \boxed{-4x + y = 23}[/tex]Step-by-step explanation:First, find the rate of change [slope]:[tex]\displaystyle \frac{-y_1 + y_2}{-x_1 + x_2}[/tex][tex]\displaystyle \frac{-19 + 35}{1 + 3} = \frac{16}{4} = 4[/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:35 = 4[3] + b 12[tex]\displaystyle 23 = b \\ \\ y = 4x + 23[/tex]Then convert to Standard Form: y = 4x + 23- 4x - 4x__________[tex]\displaystyle -4x + y = 23[/tex]_______________________________________________19 = 4[−1] + b −4[tex]\displaystyle 23 = b \\ \\ y = 4x + 23[/tex]Then convert to Standard Form: y = 4x + 23- 4x - 4x__________[tex]\displaystyle -4x + y = 23[/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.