Put the following equation of a line into slope-intercept form, simplifying all fractions.
12, y, minus, 2, x, equals, 12
12y−2x=
12
To put the equation 12y - 2x = 12 into slope-intercept form (y = mx + b), we need to solve for y. Here are the steps to do so:
1. We start with the given equation:
12y - 2x = 12
2. To isolate y, we want to move the term involving x to the other side of the equation by adding 2x to both sides:
12y = 2x + 12
3. Now, we divide every term by 12 to solve for y:
y = (2x/12) + (12/12)
4. Simplify the fractions:
y = (1/6)x + 1
Now the equation is in slope-intercept form, y = mx + b, with m (the slope) being 1/6, and b (the y-intercept) being 1.