Question

A line passes through the point (9, 7)and has a slope of 4/3

Write an equation in slope-intercept form for this line.

Answer 1

`\displaystyle\\Answer:\ y=(4)/(3)x-5`

Explanation:

`y=mx+b\\`

`\displaystyle\\The\ slope\ m=(4)/(3) \\\Rightarrow\ y=(4)/(3)x+b`

A line passes through the point (9, 7)

Thus,

`\displaystyle\\x=9\ \ \ \ y=7\\\\7=(4)/(3) (9)+b\\\\7=(4(9))/(3) +b\\\\7=(36)/(3) +b\\\\7=(3(12))/(3) +b\\\\7=12+b\\7-12=12+b-12\\-5=b\\So,\ y=(4)/(3)x-5`