Respuesta :

y = mx + b
5 = 6(4) + b
b = -19
equation
y = 6x - 19
when x = 24,
y = 6(24) - 19 = 125

answer
125

Answer:  y=125

Step-by-step explanation:

We know that the equation of a line with slope 'm' and passing through point (a,b) is given by :-

[tex](y-b)=m(x-a)[/tex]

Thus, the equation of a line with slope 6 and passing through point (4,5) with  is given by :-

[tex](y-5)=6(x-4)[/tex]

Substitute x=4, we get

[tex](y-5)=6(24-4)\\\\\Rightarrow(y-5)=6(20)\\\\\Rightarrow(y-5)=120\\\\\Rightarrow y=125[/tex]