What is the value of the slope? (or just slope) then equation?
Favorite Answer
slope is change in y/change in x or sometimes it is also noted as rise/run
In this case, the slope would have to be zero because the y coordinates are the same. Whenever the y coordinates are the same, there is no slope or the slope is equal to zero. This is because y2-y1=0 and zero in the numerator of any fraction automatically makes the whole thing zero, regardless of what the denominator is, so don’t even waste your time subtracting the x coordinates here.
To come up with an equation, rather than using slope-intercept form, it would be easier to use point-slope form here. The equation of a line in point-slope form is as follows:
y-y1=m(x-x1) where (x1, y1) is a point on the line and m is the slope of the line.
So in this case watch what happens (you can use either point, it doesn’t matter)
y-1000=0(x-20,000)
Having a zero slope in this line cancels out the x variable and the x coordinate on the right side of the equation (what is inside the parentheses is multiplied by the slope which is zero). Therefore, you are left with just this:
y-1000=0 which can also be expressed as y=1000
This is telling you that you can plug in any value you want for x and y will always be equal to 1000. The graph of this equation would be a horizontal line at 1000 on the y axis that runs parallel to the x axis.
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