Answer: 5x + 3y = -15
Explanation:
First with the given points, we will write the slope in slope intercept form and convert it to standard form.
We need to find the slope. The slope is the diffrence between the y coordinates divided by the difference between the x coordinate.
0- (-5) = 5
-3-0 = -3
5/ -3 = -5/3
The slope is -5/3.
We need to now find the y-intercept using the formula y=mx + b
where m is the slope and b is the y intercept.
Use one of the points coordinates and input them into the formula to solve for b.
We will use the coordinates of the point (-3,0)
0 = -5/3(-3) + b
0 = 5 + b
-5 -5
b= - 5
y= -5/3x - 5
Now we have the equation and we will have to convert it into the form
Ax + By = C where C is always constant .
y = -5/3x - 5 Add -5/3x to both sides
+5/3x + 5/3x
5/3x + 1y= -5 This is now in standard form but we will convert it into integers by multiplying both sides by 3.
3(5/3x + 1y) = 3(-5)
5x + 3y = -15