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salantis [7]
3 years ago
7

What is the equation of this graphed line?

Mathematics
2 answers:
o-na [289]3 years ago
8 0

Answer:

y = 2x + 2

Step-by-step explanation:

Notice that this line passes thru (-4, -6) and (2, 6). As we move from (-4, -6) and (2, 6), x increases by 6 and y increases by 12.  Thus, the slope is

m = rise / run = 12/6 = 2.

From the graph we can see that the y-intercept is (0,2).  Thus, the slope-intercept equation of this line is:

y = 2x + 2

Sliva [168]3 years ago
5 0

Answer:

y=2x+2

Step-by-step explanation:

step 1

Find the slope

The formula to calculate the slope between two points is equal to


m=\frac{y2-y1}{x2-x1}


we have


A(-4,-6)\ B(2,6)


Substitute the values


m=\frac{6+6}{2+4}


m=\frac{12}{6}=2


step 2

we know that

The equation of the line into slope intercept form is equal to

y=mx+b

we have

m=2


B(2,6)


substitute and solve for b

y=mx+b ------> 6=(2*2)+b

6=4+b

b=2

The equation of the line is equal to

y=2x+2


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Keywords: linear equations, subtraction

Learn more about linear equations at:

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