## anonymous one year ago Indicate in standard form the equation of the line passing through the given points. E(-2, 2), F(5, 1)

1. anonymous

gvgvh

2. abb0t

First, find the slope: $$\sf \color{blue}{slope} = m =\color{red}{\frac{y_2-y_1}{x_2-x_1}}$$ it is also the change in points Once you have that, plug it into your point-slope formula: $$\sf \color{orange}{y-y_1=m(x-x_1)}$$ where you can pick $$any$$ of the two points you have. they will give you the SAME answer.

3. abb0t

You can leave it as is, or change it to a line, which is in the form: $$\sf \color{green}{y=mx+b}$$

4. abb0t

Can you finish it now?

5. anonymous

I got y+1=mx-7. Is that right?

6. anonymous

My assignment says the equation starts y=

7. abb0t

No. It's incorrect. Your first step is to find the slope. What is your slope?

8. anonymous

$\frac{ -1 }{ 7}$

9. abb0t

I see what you did wrong, but you picked the wrong points, I think you used your slope as your points. But your slope is just your slope. $$\sf \color{red}{m}$$ is your slope. And it can be a fraction. It simply means rise over run: $$\sf \color{orange}{\frac{rise}{run}}$$

10. abb0t

Yes, correct. That's your slope. Now, plug it into: $$\sf \color{orange}{y-y_1=m(x-x_1)}$$

11. abb0t

for y$$_1$$ and $$\sf x_1$$ pick $$\sf \color{red}{one}$$ of the two points you have. It can be either E or F

12. anonymous

$y=\frac{ -1 }{ 7 }x$ is this right?

13. abb0t

So you have: $$\sf \color{green}{y-1=-\frac{1}{7}(x-5)}$$ Can you solve it now, using algebra, to rearrange it into the form: $$\sf \color{red}{y=mx+b}$$

14. anonymous

$y=\frac{ -1 }{ 7 }+4$ I think I got it this time

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