Well, for a line with a slope of 3/4, any other parallel line to it, will also have the same slope of 3/4

so if the line through (2, -1) is parallel to it, it has a slope of 3/4 as well

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 2}}\quad ,&{{ -1}})\quad 

\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{3}{4}
\\\\\\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=-1\\
x_1=2\\
m=\frac{3}{4}
\end{cases}\\
\textit{and move everything}\\
\textit{to the left-hand-side}
\end{array}\\

\left. \qquad \right. \uparrow\\
\textit{point-slope form}$

7 0

3 years ago

What is the sum or difference of 517 37/50 + 312 3/100

Romashka [77]

The sum is 829.77, and the difference is 205.44

8 0

3 years ago

Mr.William orders 2 feet of trim to decorate pillows. If he needs 1inch of trim for each pillow, how many pillows can he decorat

navik [9.2K]

2 feet = 24 inches

24 inches divided by 1 inch = 24

Answer is 24 pillows.

3 0

3 years ago