Put the following equation of a line into slope-intercept form, simplifying all fractions.
y−x=8
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.
To put the equation y - x = 8 into slope-intercept form, we need to rearrange the equation to solve for y. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.
Let's start by isolating y on one side of the equation:
y - x = 8
Adding x to both sides:
y = x + 8
Therefore, the equation y - x = 8 simplified into slope-intercept form is y = x + 8.
To put the equation y - x = 8 into slope-intercept form, we need to solve the equation for y in terms of x.
Step 1: Move the x term to the right side of the equation:
y = x + 8
This equation is already in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope is 1 and the y-intercept is 8. So, the equation in slope-intercept form is y = x + 8.