,We have the next information
slope=-3
point=(1,-5)=
First, we will use the point-slope form
![y-y_1=m(x-x_1)](https://img.qammunity.org/2023/formulas/mathematics/high-school/csobd57zth7rh9k4hz9amldzpq2owf0z4j.png)
where m is the slope and (x1,y1) is a point where the line passes through
(x1,y1)=(1, -5)
m=-3
we substitute the values
![y+5=-3(x-1)](https://img.qammunity.org/2023/formulas/mathematics/college/l7q9z8ci44amn47v6reu462bizdxt062zm.png)
then in order to obtain the slope-intercept form we isolate the y
![y=-3x+3-5](https://img.qammunity.org/2023/formulas/mathematics/college/430dch8x9cebp4mjkime2mtx2t1d252kux.png)
the slope-intercept form is
![y=-3x-2](https://img.qammunity.org/2023/formulas/mathematics/college/ngoa0ltc44pfqizl0uhfazpvuwtxhw2vxe.png)
the equation of the line in slope-intercept form is y=-3x-2