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

Question

asked Sep 19, 2017 127k views

2 Answers

Petrbel · Answer 1 · 2017-09-23T07:01:43+0000

Answer:

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