Answer:
9x+5y=-45
Step-by-step explanation:
To write the equation of a line we must have a slope and a point. To find the slope we use the slope formula and substitute (x,y) points in it as shown below:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-9-0}{0--5}=\frac{-9}{0+5}=\frac{-9}{5}=\frac{-9}{5}[/tex]
Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.
(y-0)=-9/5(x--5)
y=-9/5(x+5)
y=-9/5x-9
Now convert to standard form, Ax+By=C.
y=-9/5x-9
9/5x+y=-9
9x+5y=-45
