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3 years ago

11

What is y = x+ 3 on a graph look like?

1 answer:

balandron [24]3 years ago

6 0

Answer:

(shown in picture)

Step-by-step explanation:

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Indicate the equation of the given line in standard form. The line through (2, -1) and parallel to a line with slope of 3/4

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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

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$\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}$

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