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We have that
y=x²<span>+3x-5
</span>y=4x+1
using a graph tool
see the attached figure
the solution are the points
(-2,-7)
(3,13)
<span>the solution obtained by the student
</span>(-2,0)
(3,0)<span>
is incorrect because the values of the coordinate y are incorrect
</span>the values of x are correct
x1=-2
x2=3
<span>with those values of x obtained, the student had to substitute it in any of the two equations to obtain the value of y
</span>so
for x=3
y=4x+1------> 4*(3)+1-----> y=13
for x=-2
y=4x+1------> 4*(-2)+1-----> y=-7
y=x²<span>+3x-5
</span>y=4x+1
using a graph tool
see the attached figure
the solution are the points
(-2,-7)
(3,13)
<span>the solution obtained by the student
</span>(-2,0)
(3,0)<span>
is incorrect because the values of the coordinate y are incorrect
</span>the values of x are correct
x1=-2
x2=3
<span>with those values of x obtained, the student had to substitute it in any of the two equations to obtain the value of y
</span>so
for x=3
y=4x+1------> 4*(3)+1-----> y=13
for x=-2
y=4x+1------> 4*(-2)+1-----> y=-7
For this case we have that by definition, the slope of a line is given by:
Where:
They are two points through which the line passes.
According to the statement we have two points:
Substituting we have:
Thus, the slope of the line is:
Answer: