What is the missing y-coordinate that would produce a slope of 3, if a line were drawn through the points left-parenthesis 4 comma 5 right-parenthesis and left-parenthesis 8 comma y right-parenthesis?
Since the slope of a line is [tex] \frac{y_{2}-y_{1} }{ x_{2}-x_{1} } [/tex] And 2 points of the line are given, (4,5) and (8,y) we can substitute those values into our equation.
[tex] \frac{y-5}{8-4} = \frac{y-5}{4} [/tex]
Since the slope of the line is 3, [tex] \frac{y-5}{4} = 3[/tex] Multiplying both sides by 4 would give us:
