Question

Write an equation in point slopeople form that passes through the point (1,8) & slope of -3 show all work now write the equation in slope intercept form

Answer 1

So we know that point-slope form is as follows:

`y-y_(1)=m(x-x_(1))`

The points (
`x_(1)` and
`y_(1)` correspond to the point given and m is representing the slope. So we plug in what the question gives us:

`y-(8)=-3(x-1)` <------ Point-slope form

Now we can take this form and simplify to give us the slop-intercept form:

`y-8=-3(x-1)`

`y-8=-3x+3`

`y=-3x+11` <----- Slope-intercept form