Answer:
3x + 10 y = -80
Explanation:
We are given the equation y = −3/10x − 8 and we want to write it in standard form.
Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot equal 0 and a cannot be negative.
The equation is currently is written in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept.
As you can see, in standard form, x and y are on both sides, but in slope-intercept, the equation is solved for y.
So, to start, we can add 3/10x to both sides.
y = -3/10x - 8
+3/10x +3/10x
_______________
3/10x + y = - 8
Now, we have x and y on the same side, but remember that the the coefficients should be integers (non-fractions).
So, we need to clear the fraction.
Multiply both sides by 10.
10(3/10x + y) = 10(-8)
3x + 10y = -80