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