Question

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.

Answer 1

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.