Question

Identify the graphed linear equation
A. y = 2x + 2
B. y = 2x + 3
C. y = 3x + 2
D. y = 3x + 3

Answer 1

it's B check it on a graph and u can see it

Answer 2

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