In order to calculate the slope, let's put the equation in the slope-intercept form:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
So we have:
[tex]\begin{gathered} -15x+3y=45 \\ -5x+y=15 \\ y=5x+15 \end{gathered}[/tex]
So the slope is 5 and the y-intercept is (0, 15).
To find the x-intercept, let's use y = 0 in the equation:
[tex]\begin{gathered} 0=5x+15_{} \\ 5x=-15 \\ x=-3 \end{gathered}[/tex]
So the x-intercept is (-3, 0).
