Question

A line passes through the point (2,7) and has a slope of 9. Write an equation in slope-intercept form for this line.

Answer 1

Hi there!

We are given a point that the line passes through and the slope of the line, so we can use Point-Slope Form:

`\mathrm{y-y1=m(x-x1)}`

In this case, y₁=7, m=9, and x₁=2.

Plug in the values:

`\mathrm{y-7=9(x-2)}`

Now, turn it into Slope-Intercept:

`\rm{y-7=9x-18`

Move -7 to the right:

`\rm{y=9x-18+7}`

Add:

`\rm{y=9x-11` (Answer)

Hope it helps!

Enjoy your day/night!

Please feel free to ask if you have any doubts.

-Sparkles-