Write the equation of the graph

Mathematics

1 answer:

lakkis [162]3 years ago

5 0

Answer:

y = x -3

Step-by-step explanation:

From the graph we see the line goes from point (0, -3) to point ( 3, 0), so we can find the slope as m= rise ( go up 3) / run ( go to the right 3) = 3/ 3 = 1

From the graph we can also see the y-intercept ( where the line intersects the y axis is at b = -3

The general equation of the line is y= mx+ b

Our line's equation is y = x -3, because m=1 and b= -3

You might be interested in

a hose fills a hot tub at a rate of 4.39 gallons per minute. How many hours will it take to fill a 280-gallon hot tub?

Evgen [1.6K]

$\bf \begin{array}{ccll} gallons&minutes\\ \cline{1-2} 4.39&1\\ 280&x \end{array}\implies \cfrac{4.39}{280}=\cfrac{1}{x}\implies 4.39x=280\implies x=\cfrac{280}{4.39} \\\\\\ x\approx \stackrel{\textit{minutes}}{63.78}~\hspace{7em}63.78 ~~\begin{matrix} min \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ \cdot \cfrac{hr}{60 ~~\begin{matrix} min \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ } \implies \boxed{1.063~hr}$