Question

write an equation in point slope form of the line that passes through the given point and with the given slope m

(4,2);m=-5/3

Answer 1

Reca\[y-y_{1}=m(x-x_{1})\]ll that:
Point slope form-->
@ashsmashum what do you think?

Answer 2

so 4-5 and 2-3?

Answer 3

@ashsmashum
if (4,2)= (x1,y1)
& m= -5/3
than
\[y-2=-\frac{ 5 }{ 3 }(x-4)\]

Answer 4

Let me help you, x1 and y1 refer to any point (x,y) of the line, because you can choose x1 = 4 , and y1 = 2

Answer 5

so 4-1 and 2-1 or 5-1 and 3-1

Answer 6

what do you mean about 4-1 , 2-1 , ..?

Answer 7

I'm sorry if I'm wrong i am very bad at math

Answer 8

@ashsmashum ... don't worry about it! everyone has to learn this stuff.

Answer 9

Don`t worry, you can learning by practice and practice

Answer 10

hint: \(\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({\color{red}{ 4}}\quad ,&{\color{blue}{2}})\quad
\end{array}
\\\quad \\
% slope = m
slope = {\color{green}{ m}}= \cfrac{rise}{run} \implies
-\cfrac{5}{3}
\\ \quad \\
% point-slope intercept
y-{\color{blue}{ y_1}}={\color{green}{ m}}(x-{\color{red}{ x_1}})\qquad \textit{plug in the values}\\
\qquad \uparrow\\
\textit{point-slope form}\)

Answer 11

but what is x1 and y1?