Question

Write an equation for the line in point-slope form.Passing through (5,3) with x-intercept 6

Answer 1

Remember that the point-slope form of a line is:

$y-k=m(x-h)$

For a line with slope m and that passes through point (h,k)

Now, let's work on the line we're given. SInce the x-intercept is 6, we know that the line passes through (6,0).

Let's calculate the slope m :

$m=\frac{3-0}{5-6}\rightarrow m=\frac{3}{-1}\Rightarrow m=-3$

Now, using point (5,3) we can get the following point-slope form for the line:

$y-3=-3(x-5)$