Question

What is the equation of the line which passes through 4 2 and has a slope of -2?

Answer 1

Point slope form is the best form to use for this particular question.

We reflect point slope form as:
`y-y_(1) =m(x-x_1)`

M reflects the slope, and the X and Y values are the coordinates given.

M = -2, X = 4, Y = 2

This should result in an equation that looks like this:

`y-2=-2(x-4)`

Now, if we want to turn this equation into slope-intercept form, we have to do some calculations. First of all, we have to multiply -2 with (x-4) to get

`y-2=-2x+8`

Next, we add two on both sides to isolate the Y variable.

Therefore, the slope-intercept equation would be:
`y=-2x+10`