Question

write an equations in slope-intercept form of the line that passes through the point(5,9) with slope 7

Answer 1

`y=7x-26`

Explanation:

1) Write it in the slope-intercept form of
`y=mx+b`, where m is the slope and b is the y-intercept.

`y=7x +c`

2) Substitute the given coordinates into
`y=7x +b`, and then solve for c.

`9=7(5) +b\\9=35+b\\9-35=b\\b= -26`

3) Substitute c into
`y=7x +b`

`y=7x-26`

Therefore, the answer is
`y=7x-26`.