Question

Express the equation in the form Y= mx+b by solving for Y. -2x-y=10

A: y=-2x+10
B: y=2x+10
C: y= 2x-10
D: y= -2x-10

Answer 1

Explanation:

To express the equation -2x - y = 10 in the form Y = mx + b, where m is the slope and b is the y-intercept, you need to solve for y.

Starting with the given equation:

-2x - y = 10

First, let's isolate y by adding 2x to both sides of the equation:

-2x - y + 2x = 10 + 2x

This simplifies to:

y = 2x + 10

Now, to solve for y, multiply both sides of the equation by -1 to get y by itself:

y = -2x - 10

So, the equation -2x - y = 10 can be expressed in the form Y = mx + b as:

Y = -2x - 10