Question

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

Answer 1

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

Answer 2

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

Answer 3

so -6 - -3 and 7-6?

Answer 4

Yes

Answer 5

so -9,1

Answer 6

or positive 9

Answer 7

Lemme show you

Answer 8

\[\frac{ 6-7 }{ -3-6 } = \frac{ 1 }{ 9 }\]

Answer 9

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

Answer 10

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

Answer 11

oh ok i see! Thank you!