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pickupchik [31]
4 years ago
10

Determine the equation of the line given by the graph.

Mathematics
2 answers:
AURORKA [14]4 years ago
6 0

Answer:

<h2>A. y=\frac{2}{3}x-1</h2>

Step-by-step explanation:

The given graph belongs to a linear function, because it's a line.

To find its equation, we first need to find the slope of the line using two points and the formula

m=\frac{y_{2}-y_{1}  }{x_{2} -x_{1} }

We are gonna use points (0,-1) and (3,1), because the lines crosses through them. Replacing these points in the formula, we have

m=\frac{1-(-1)}{3 -0 }=\frac{1+1}{3}\\m=\frac{2}{3}

Now, we use one points and the point-slope formula

y -y_{1} =m(x-x_{1} )\\y-(-1)=\frac{2}{3}(x-0)\\ y+1=\frac{2}{3}x\\y=\frac{2}{3}x-1

Therefore, the right answer is A.

y=\frac{2}{3}x-1

denis23 [38]4 years ago
4 0
This function is increasing, so the slope should be positive.

slope=rise/run=2/3

<span>A) y = (2/3) x − 1 </span>
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