Put the following equation of a line into slope-intercept form, simplifying all fractions.

y−x=8

1 answer

To put the equation into slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we need to isolate the y variable.

Starting with the given equation: y - x = 8

Adding x to both sides of the equation: y - x + x = 8 + x
Simplifying: y = x + 8

So, the equation is already in slope-intercept form and cannot be simplified any further. The slope (m) of the line is 1, and the y-intercept (b) is 8.