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Answer: The equation of a line with a slope of 0 that passes through the point (6,-11) will be y = - 11
Step-by-step explanation:
We want to determine the equation of a line with a slope of 0 that passes through the point (6,-11)
Slope of the line = change in the value of y on the vertical axis / change in the value of x on the x axis.
Recall,
The the equation of a straight line is represented in the slope intercept form is
y = mx + c
Where
m = slope
c = intercept on the y axis
From the equation information given,
slope, m = 0
y = -11
x = 6
To get the intercept, c,
y = mx + c
-11 = 0 × x + c
-11 = c
c = -11
The equation of a line with a slope of 0 that passes through the point (6,-11) will be
y = 0x - 11
y = - 11
We want to find a line with a slope of 0 that passes through the point (6, -11).
The line is:
y = -11
First, a general line is something of the form:
y = a*x + b
Where a is the slope and b is the y-intercept.
If the slope is equal to 0, then the line becomes:
y = b
Now we want this line to pass through the point (6, - 11)
Notice that the line is an horizontal line of constant y-value, so if we want this line to pass through that point, then the line must be:
y = -11
This is the line we wanted to get.
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