Answer: y=-2/5x-3/5
Step-by-step explanation:
y=-2/5x+3
x=-2/5y+3
x(5y+3)=-2/5y+3×5y+3
x(5y+3)=-2
Devide by X on both sides
5y+3=-2/x
5y=-2/x-3
y=-2/5x-3/5
<h3>
Answer: B. g(x) = f(x)+4</h3>
Explanation:
The graph shows that f(x) has the y intercept at -5. This is where the red line crosses the vertical y axis. More specifically, the y intercept is located at the point (0,-5)
We're told that g(x) has a y intercept at -1. So we must move f(x) 4 units up to go from y = -5 to y = -1. This is because -5+4 = -1.
Do this for every point on f(x) and you'll end up with g(x) = f(x)+4. Recall that y = f(x). So saying f(x)+4 is the same as y+4 to indicate "shift up 4 units".
f(x) and g(x) have the same slope, but different y intercepts. So they are parallel lines that never cross.
Remember that multiplying is how many times you add a number to itself. If you multiply by 3, you add the first number to itself 3 times.
When you multiply a given number by 1, you get the first number (it doesn't change).
When you multiply by a number less than one, say, one half, you'll end up with half of the original number --> a smaller number.
When you multiply a number by more than one, you will get a number bigger than the original because you are adding it to itself more than once. Even if it is a fraction or decimal, if it is greater than 1, then the new product will be larger than the original number.
Hope this helps! :)
