The slope of the line below is -2. Use the cordinates of the labeled point to find a point-slope equation of the line

Respuesta :

Answer:

We can not see the image, so i will answer this in a general way.

We know that a linear equation can be written as:

y = a*x + b

Where a is the slope, and b is the y-intercept.

In this case, we know that this line has a slope equal to -2, then the line is:

y = -2*x + b

Now, suppose that in the image we can see that this line passes through the point (j, k)

Then we can replace x by j, and y by k in the line equation, to get:

k = -2*j + b

Now we can solve this for b:

b = k + 2*j

Then we can conclude that a line with a slope equal to -2, that passes through the point (j, k) is:

y = -2*x + (k + 2*j)