Hello,
I am just wondering why
y=mx+b for b (solve for the variable)
would be y-b/m
and not y/m-b
Thanks
please please help me!
y=mx+b
y -mx = b
Hello,
When solving for a variable in an equation, it is important to follow a specific order of operations. For the equation y=mx+b, to solve for the variable b, we need to isolate it on one side of the equation. Let's go through the steps to see why it becomes y-b/m and not y/m-b:
Step 1: Start with the original equation: y = mx + b.
Step 2: To isolate the variable b, we need to move all other terms away from it. In this case, we have mx on the right side of the equation. To move mx to the left side, we need to subtract it from both sides of the equation:
y - mx = mx + b - mx
Step 3: Simplify the equation by cancelling out the mx terms on the right side:
y - mx = b
Step 4: Now, we have isolated the variable b on the right side of the equation. To move it to the left side, we can subtract it from both sides:
y - mx - b = b - b
Step 5: Simplify again by canceling out the b terms on the right side:
y - mx - b = 0
Step 6: Rearrange the terms so that b is on its own side:
y - b = mx
Step 7: Lastly, to solve for b, we need to get it alone by dividing both sides of the equation by m:
(y - b)/m = (mx)/m
= x
Therefore, the correct answer is (y - b)/m, not y/m - b.
I hope this explanation helps! Let me know if you have any further questions.