Respuesta :

Answer:

y = 10x - 46

Step-by-step explanation:

slope intercept form: y = mx + b

m is slope and b is y-intercept

given: y - 4 = 10(x-5)

1. distibute 10

y - 4 = 10x - 50

2. we need to get y by itself so bring -4 to other side

y = 10x - 50 + 4

y = 10x - 46

slope-intercept form is [tex]y=mx+b[/tex]

[tex]y=10(x-5)+4[/tex]          ↣ We move -4 to another side and become positive number.

[tex]y=(10x-50)+4[/tex]             ↣ Distribute 10 inside the brackets.

[tex]y=10x-50+4\\y=10x-46[/tex]            ↣ Then we get the slope-intercept form.

Thus, the answer is [tex]y=10x-46[/tex]