Answer: [tex]y = 3x + 2[/tex]
Step-by-step explanation: [tex]2x + 3y = 6[/tex] in y-intercept form is [tex]y=\frac{-2}{3}x+2[/tex]. From this, we can make [tex]y=mx+2[/tex]. Substitute (x, y) with (1, 5) and you get [tex]5=1m+2[/tex]. Subtraction 2 from both sides and you get [tex]3=m[/tex]. We now have all the info we need. Assemble the equation and you got [tex]y = 3x + 2[/tex].
