Question

Write an equation for the line described. Give the answer in standard form.through (6,1), m= -2

Answer 1

EXPLANATION

Given that the slope is equal to m=-2 and we have the (6,1), we can write the point-slope form and then turn it into a standard form as shown as follows:

`y-y_1=m(x-x_1)`

Replacing terms:

`y-1=-2(x-6)`

Applying the distributive property:

`y-1=-2x+12`

Adding +1 to both sides:

y = -2x + 12 + 1

Adding numbers:

y = -2x + 13

Adding +2x to both sides:

y + 2x = 13

Rearranging terms:

2x + y = 13

As the standard form of a line is Ax + By = C, our standard form equation is as follows:

2x + y = 13