Question

complete the equation of the graphed linear function in point-slope form.
y – 6 =__ (x –__ )
http://static.k12.com/calms_media/media/1522000_1522500/1522152/2/ea5680084526ed31fb64b49393e78f6738cc10e9/MS_IMC-140829-100654.jpg

Answer 1

Will give metal!

Answer 2

Y-6=__(x-__)

Answer 3

Okay, what we will do, is take to evident points that belong to the line:
Let's call them Q and P : Q(-8,2) and P(-6,6)
now, let's calculate the slope:
\[m _{QP}=\frac{ 6-2 }{ -6+8 }\]
\[m _{QP}=\frac{ 4 }{ 2 }=2\]
\[m _{QP}=2 \]
And now, let's find the equation of the line, using one of the points found and the slope we just calculated:
\[(y-y_o )= m (x-x_o)\]
\[(y-6)=(2)(x-(-6))\]

Answer 4

because its x1 - x2 and y1 - y2

Answer 5

you mean the slope?

Answer 6

yes

Answer 7

The slope is defined as:
\[m=\frac{ dy }{ dx }\]
that just means the change in y coordinates over change in x coordinates:
\[m=\frac{ y_2 - y_1 }{ x_2 - x_1 }\]

Answer 8

ok

Answer 9

thank you!

Answer 10

No problem!