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Darina [25.2K]
3 years ago
13

Identify the graphed linear equation

Mathematics
2 answers:
Ivenika [448]3 years ago
6 0
It's B check it on a graph and u can see it
pav-90 [236]3 years ago
6 0

Answer:

y=2x+3

Step-by-step explanation:

the general form of a line is:

y=mx+b

where m is the slope, and b is the point where the line crosses the y-axis.

From the graph we can see that said line crosses the y-axis at

+3

the the b in our solution must be+3 , we willl have a result of the form:

y=mx+3

That rules out options A and C

Now to calculate the slope we take two points where the graph passes, I will take the points:

(-2,-1)and (0,3)

tag the coordinates

x_{1}=-2\\y_{1}=-1\\x_{2}=0\\y_{2}=3

and use the slope equation

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

substituting the values:

m=\frac{3-(-1)}{0-(-2)} \\m=\frac{3+1}{2}\\ m=\frac{4}{2} \\m=2

the slope of the line is 2, so the equation of the line is:

y=2x+3

which is option B

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