anonymous one year ago Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –x + 9 y = –x + 5 y = –3x – 11y y = –3x + 25

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1. anonymous

Get the gradient of the line first, then put it into y=mx+b form.

2. anonymous

$Gradient, m = (\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} })$

3. anonymous

so -6 - -3 and 7-6?

4. anonymous

Yes

5. anonymous

so -9,1

6. anonymous

or positive 9

7. anonymous

Lemme show you

8. anonymous

$\frac{ 6-7 }{ -3-6 } = \frac{ 1 }{ 9 }$

9. anonymous

So you put it into the equation as $y = \frac{ 1 }{ 9 } x +c$

10. anonymous

now you plug in a point like (-6,7) into the equation. $7 = \frac{ 1 }{ 9 } (-6) +c$ And solve for c

11. anonymous

oh ok i see! Thank you!