Identify the slope and y-intercept, if they exist.
x+8=2
To identify the slope and y-intercept of the equation x + 8 = 2, we first need to isolate the variable x.
We can do this by subtracting 8 from both sides of the equation:
x + 8 - 8 = 2 - 8
This simplifies to:
x = -6
Now that the equation is in the form "y = mx + b" where m represents the slope and b represents the y-intercept, we can see that the slope is 0 and the y-intercept does not exist since there is no y term in the equation.
To identify the slope and y-intercept, we will rearrange the equation into slope-intercept form, which has the form y = mx + b, where m represents the slope and b represents the y-intercept.
Given the equation:
x + 8 = 2
To isolate the x-term, we subtract 8 from both sides:
x = 2 - 8
x = -6
Now we have the equation in the form x = -6, which means it is a vertical line passing through x = -6. Since it is a vertical line, it does not have a slope or a y-intercept.
To identify the slope and y-intercept, we need to rewrite the equation in slope-intercept form, which is in the form y = mx + b, where m represents the slope and b represents the y-intercept.
Given the equation x + 8 = 2, we can start by isolating the variable x to the left side of the equation:
x = 2 - 8
Simplifying further:
x = -6
Now we can rewrite the equation in slope-intercept form:
y = mx + b
Substituting the value of x:
y = m(-6) + b
Simplifying:
y = -6m + b
Comparing this form with the original equation x + 8 = 2, we can see that the slope and y-intercept cannot be directly determined. This is because the equation does not have y as a variable, so we cannot express it in the form y = mx + b.
In this case, since there is no y term in the equation, we can say that the slope and y-intercept do not exist.