Question

What is the equation of this graphed line?

Answer 1

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

Answer 2

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

$y=2x+2$