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

`y=2x+3`

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=(y_(2)-y_(1))/(x_(2)-x_(1))`

substituting the values:

`m=(3-(-1))/(0-(-2)) \\m=(3+1)/(2)\\ m=(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