Question

Determine the standard form of the equation of the line that passes through (-5,0) and (0,-9)

Answer 1

Hello there,

Determine the standard form of the equation of the line that passes through (-5,0) and (0,-9)

Answer: 9x+5y=-45

Answer 2

9x+5y=-45

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:

`m=(y_2-y_1)/(x_2-x_1)=(-9-0)/(0--5)=(-9)/(0+5)=(-9)/(5)=(-9)/(5)`

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