Please help me ASAP!!!!!!
22. What is the slope-intercept form of 8x-y-6=0?
I know I move the 6 over and that I need to get y by itself but, what do I do with the 8x?
In general you can do this in 2 steps
Since you want the y all alone on the left side
1. Move all terms except the y term to the right
-y = -8x - 6
2. divide all terms by the coefficient of y , unless it is already y.
y = 8x + 6
another example:
4x + 3y - 12 = 0
3y = -4x + 12
y = (-4/3)x + 4
To find the slope-intercept form of the equation, you need to isolate the variable 'y' on one side of the equation. Here's what you need to do step-by-step:
1. Start with the equation: 8x - y - 6 = 0
2. Move the -6 to the other side of the equation to isolate the terms with 'x' and 'y'. You can do this by adding 6 to both sides:
8x - y = 6
3. Now, to isolate 'y', you need to get rid of the '8x' term. Since 'y' is subtracted, you can undo it by adding 'y' to both sides:
8x = y + 6
4. Finally, rearrange the equation to match the slope-intercept form (y = mx + b), where 'm' represents the slope and 'b' is the y-intercept. In this case, the equation becomes:
y = 8x + 6
So, the slope-intercept form of the given equation 8x - y - 6 = 0 is y = 8x + 6.