Question

Change the following equation to slope intercept form y +2=-3(x-5)

Answer 1

Explanation:

To convert the given equation y + 2 = -3(x - 5) into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, follow these steps:

Step 1: Distribute the -3 on the right side of the equation:

y + 2 = -3x + 15

Step 2: Move the constant term (2) to the other side of the equation:

y = -3x + 15 - 2

Step 3: Simplify the constants on the right side:

y = -3x + 13

Now the equation is in slope-intercept form: y = -3x + 13.

Answer 2

We start with expanding the parentheses on the right hand side of the equation, giving us
`y+2=-3x+15`.

Subtracting 2 from each side gives us our answer:

`y=-3x+13`.