Question

Please help! you will get 10 points tyy

Answer 1

y=-2x+(-1)

Explanation:

We first need to take two points from the graph. This will allow us to find the slope. Let us take the coordinates: (2,-5) and (1,-3). In order to find the slope using two coordinates, we need to use the following formula:

y^2/x^2 - y^1/x^1

The 2 and 1 are the two coordinates we picked. It is y^2/x^2 because in order to find the slope, you need to put the coordinates in rise/run form. Rise is the y-axis and run is the x-axis. Plug the numbers into the formula:

-5/2 - -3/1

-5-(-3)= -2

2-1=1

-2/1

This will result in the fraction -2/1 or -2. This is our slope. To find the y-intercept, we need to use the following formula (M is the slope):

y=mx

Plug the slope and one x-coordinate. I am going to use coordinate (1,-3):

-2=-2(1)

Use the y-coordinate from the x-coordinate we used above. The -2 in this equation is the product of -2(1). We will be finding the y-intercept using this formula (B is the y-intercept):

-3=-2+b

b= -1

So, our equation is y=-2x+(-1). Sorry for the really long explanation for I tried to make it easy to understand.

Answer 2

y=-2x-1

Explanation:

First we need to know the slope-intercept equation:

y=mx+b

m: slope

b: y-intercept

First we find the slope:

Slope = (y₂-y₁)/(x₂-x₁)

Use any two x and y values on the table:

Slope = [-5-(-3)]/(2-1) = -2/1 = -2

Now we find the y-intercept:

y=mx+b

y=-2x+b

We plug in a pair of x and y values into the equation:

-3=-2(1)+b

-3=-2+b

b=-1

So the slope-intercept equation is:

y=-2x-1