Answer:
2x + 5y = -11 ==> C
Explanation:
y=mx+b ==> slope intercept form
-3 = -2/5 * 2 + b ==> plug in known values, m=slope=-2/5
-3 = -2*2/5 + b
-3 = -4/5 + b
(-3 = -4/5 + b)*5 ==> multiply the equation by 5 to remove the denominator
-15 = -4 + 5b
-15 + 4 = -4 + 4 + 5b ==> isolate b by adding 4 on both sides
-11 = 5b ==> solve for b
b = -11/5 ==> simplify
y=mx+b ==> y=-2x/5 - 11/5 ==> equation in slope intercept form
(y=-2x/5 - 11/5)*5 ==> multiply equation by 5 to remove denominators
5y = -2x - 11
Now arrange equation in Ax+By=C format where A, B, and C are constants:
2x + 5y = 2x - 2x - 11 ==> add 2x on both sides to get x and y on same side
2x + 5y = -11 ==> C