so we have a table of values, with x,y coordinates, so let's use any two of those points to get the slope of the table and use the point-slope form to get its equation

$~\hspace{2.7em}\stackrel{\textit{let's use}}{\downarrow }\qquad \stackrel{\textit{and this}}{\downarrow }\\\begin{array}{|lr|r|r|r|r|}\cline{1-6}x&0&1&2&3&4\\y&-1&3&7&11&15\\\cline{1-6}\end{array}\\\\[-0.35em]\rule{34em}{0.25pt}\\\\(\stackrel{x_1}{1}~,~\stackrel{y_1}{3})\qquad(\stackrel{x_2}{4}~,~\stackrel{y_2}{15})$

$\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{15}-\stackrel{y1}{3}}}{\underset{run}{\underset{x_2}{4}-\underset{x_1}{1}}}\implies \cfrac{12}{3}\implies 4\\\\\\% point-slope intercept\begin{array}{|c|ll}\cline{1-1}\textit{point-slope form}\\\cline{1-1}\\y-y_1=m(x-x_1)\\\\\cline{1-1}\end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{4}(x-\stackrel{x_1}{1})\\\\\\y-3=4x-4\implies y = 4x-1\implies \blacktriangleright y = 4x+(-1)\blacktriangleleft$

4 0

3 years ago

2x+3=9 what is the answer

xxMikexx [17]

Answer : x=3

Step-by-step explanation:

Explanation:

2x+3=9

We want to find the variable x, so we have to make it alone. To do so, first subtract 3 from both sides of the equation:

2x+3 − 3=9 − 3

2x=6

Now divide both sides by 2:

2x2=62

So the final answer is:

x=3

6 0

3 years ago

A clothing store offers a free T- shirt when a customer spends $75 or more. Lyndon has already spent $36.95 which statement best

Anna [14]

$38.05 or more because you need a minimum of $38.10

8 0

3 years ago