Question

Indicate in standard form the equation of the line passing through the given point and having the given slope.A(5,5), M=3

Answer 1

Start with point-slope form:
\[y-5=3(x-5)\]
distribute:
\[y-5=3x-15\]
subtract 3x:
\[y-3x-5=-15\]
add 5 :
\[y-3x=-10 \rightarrow -3x+y=-10\]
and multiply by -1:
\[3x-y=10\]

Answer 2

thank you

Answer 3

NP

Answer 4

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

Answer 5

Same thing, except the slope is determined by:
\[\frac{ y _{2}-y _{1} }{ x _{2}-x _{1} }\]

Answer 6

Then:
\[y-y _{1}=m(x-x _{1})\]

Answer 7

thanks that helped alot