Respuesta :

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).

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