Question

What is the equation of the line shown in this graph?Enter your answer in the box.

Answer 1

Answer:

y=1

Step-by-step explanation:

Hello

if you have two point of a line P1,P2, you can find the slope of the line using :

$P1(x_{1},y_{1}), P2(x_{2},y_{2})$

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

Step 1

Let

Point 1 (-4,1)

Point 2 (2,1)

Put the values into the equation

$m=\frac{1-1 }{2-(-4) }\\m=\frac{0}{6} \\m=0$

Hint:the slope equal to zero means that the line is horizontal

Step 2

find the equation of the line using, the slope, Point 1 and the slope-point equation

$y -y_{0}=m(x-x_{0})\\y-1=0(x-(-4))\\y-1=0\\y=1$

the equation of the line is  

y=1

Have a good day

Answer 2

Y=1 we can check this by looking at the slope of the line: m=
$\frac{1 - 1}{2 + 4}$
so m=0. By looking at the graph we know our y-int is 1. By plugging in this information into the equation of a line we get the following: y=0x+1. That is y=1