Question

Write the equation of the line that passes through (3, –2) and has a slope of 4 in point-slope form.

Answer 1

\[y=mx+b\]
m is slope so (4)

Answer 2

then pug in your (x,y) coordinate to get (b)

Answer 3

and you have yourself an equation :)

Answer 4

\(\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({\color{red}{ 3}}\quad ,&{\color{blue}{ -2}})\quad

\end{array}
\\\quad \\
% slope = m
slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies4
\\ \quad \\
% point-slope intercept
y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values}\\
\qquad \uparrow\\
\textit{point-slope form}\)

plug them in
be happy
eat ice-cream
do the hula hoop

Answer 5

plug it into slope form

Answer 6

what do you mean plug in to get b?

Answer 7

like solve it, right?

Answer 8

so \[y=4x+b\]\[x=3\]\[y=-2\]\[-2=4(3)+b\]

Answer 9

so solve that

Answer 10

nothing to solve really
you're given "m", the slope, of 4
you're also given "x" and "y"

and you don't need to change the form

Answer 11

-2=12+b
-14=b?

Answer 12

yep :)

Answer 13

\[y=4x+(b)

Answer 14

thank you!

Answer 15

yeah :)

Answer 16

yw

Answer 17

wait, it doesnt say that on my answers though? maybe we over simplified it?
y + 2 = 4(x – 3)
y – 3 = 4(x + 2)
x – 3 = 4(y + 2)
x + 2 = 4(y – 3)

Answer 18

so would it be D?

Answer 19

um; i dont think we over simplified

Answer 20

ohhh

Answer 21

\[y-y^1=m(x-x^1)\]

Answer 22

so b?

Answer 23

\[y^1=-2\]\[x^1=3\] and \[m~still=4\]

Answer 24

so \[y-(-2)or(y+2)=4(x-3)\]

Answer 25

oh a

Answer 26

that make sense? i was using a different form XD

Answer 27

yep :)