A student writes the equation for a line that has a slope of
2 answers:
Answer:
- the problem statement and form fill disagree
- the arithmetic with -(-8)+8 is erroneous
Step-by-step explanation:
The point-slope form of the equation of a line is ...
y -k = m(x -h)
for a point (h, k) and a slope m.
The problem statement tells us m=-6 and (h, k) = (2, 8). Putting these values into the form gives ...
y -8 = -6(x -2)
The first line of "the work" uses -8 instead of 8. We cannot tell if that is an error in the work, or a typo in the problem statement. Either way, they disagree.
__
The last line of "the work" adds -(-8) and +8 to give a result of 0. That is definitely an error, regardless of the above.
_____
<em>Comment on the result</em>
If the problem statement has no typo, the errors cancel and the student ended up with the right equation.
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First, you want to identify the slopes and y-int.
Equation 1 = y = -2x + 2
Slope = -2
y-int. = 2 or (0,2)
Equationt 2 = y = 2x + 3
Slope = 2
Y-int. = 3 or (0,3)
To graph, first plot the y-intercepts. Then do the slopes.
Slope = -2
Down 2 over 1 (to the right)
Slope = 2
Up 2 over 1 (to the right)
Then just connect the dots in a line!
