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]