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

User Dilettant
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1 Answer

9 votes

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-

User Freeall
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