Identify the slope and y-intercept, if they exist.
x+8=2
SELECT "INDEFINED" IF APPLICABLE
SLOPE:
Question 4
Identify the slope and -intercept, if they exist.
Part 1 of 2
Select "Undefined" if applicable.
Slope:
Part 2 of 2
Write the intercept as an ordered pair. Select "None" if applicable. If there is more than one intercept, separate them with commas.
y-intercept:
The first equation, x+8=2, can be rewritten as x = -6.
In this case, the slope is undefined because the equation is not in the form y = mx + b. The y-intercept is also undefined because the equation does not include the variable y.
To identify the slope and y-intercept of the equation x+8=2, we need to rearrange the equation in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
Rearranging the equation, we get:
x + 8 = 2
To isolate x, we subtract 8 from both sides of the equation:
x = 2 - 8
x = -6
Now that we have the value of x, we can substitute it back into the original equation and solve for y:
y = x + 8
y = -6 + 8
y = 2
The equation x+8=2 simplifies to y = 2.
Since the equation is in the form y = 2 (which means it has a constant value for y and no x term), the slope is undefined.
The y-intercept of the equation is (0, 2), where x is 0 and y is 2.
To identify the slope and y-intercept of the equation, we need to rewrite it in slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
Given the equation x + 8 = 2, we first need to isolate the y variable.
Subtract 8 from both sides of the equation:
x + 8 - 8 = 2 - 8
x = -6
Now, we have x = -6, which means y can be any value since it is not dependent on x. Hence, the slope is undefined (or "infinite") in this case.
Therefore, the slope is undefined, and since there is no y-variable involved, there is no y-intercept. So, the y-intercept is "None."
To summarize,
Slope: Undefined
y-intercept: None