95.1k views
0 votes
Use the point-slope form to find the equation of the line that goes

through the point (7,1) with slope 7. Write your final answer in
slope-intercept form.

1 Answer

3 votes

Hi there!

»»————- ★ ————-««

I believe your answer is:


y = 7x - 48

»»————- ★ ————-««

Here’s why:

⸻⸻⸻⸻


\boxed{\text{\underline{Point-Slope Form Is:}}}\\\\y - y_1 = m(x-x_1)\\\rule{150}{0.5}\\\\\boxed{\text{\underline{Key:}}}\\\\$\bullet \text{ }(x_1,y_1) - \text{Point Given}\\\\$\bullet \text { } m - \text{Slope Given}\\\rule{150}{0.5}\\\\\boxed{\text{\underline{Information Given:}}}\\\\$\bullet\text { } (7,1) - \text{Point}\\\\$\bullet\text{ } 7 - \text{Slope}\\\rule{150}{0.5}\\\\\text{Replace the variables with the appropriate value.}\\\\y-y_1=m(x-x_1)\\\\\text{\textbf{Becomes...}}\\\\


\boxed{y-1=7(x-7)}\\\rule{150}{0.5}


\boxed{\text{\underline{Converting into Slope-Intercept:}}}\\\\y-1=7(x-7)\\\rule{150}{0.5}\\\\\rightarrow y - 1 = 7x - 49\\\\\rightarrow y - 1 + 1 = 7x -49 + 1\\\\\rightarrow \boxed{y=7x -48}\\\rule{150}{0,5}

»»————- ★ ————-««

Hope this helps you. I apologize if it’s incorrect.

User Fozuse
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories