Answer:
In step 2, she didn’t use an x and y from the same coordinate pair
Step-by-step explanation:
see the attached figure to better understand the problem
we have the points (5, 1) and (3, 5)
step 1
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute
[tex]m=\frac{5-1}{3-5}[/tex]
[tex]m=\frac{4}{-2}[/tex]
[tex]m=-2[/tex]
step 2
The equation of the line in point slope form is
[tex]y-y1=m(x-x1)[/tex]
take the point (3,5)
[tex]m=-2[/tex]
substitute
[tex]y-5=-2(x-3)[/tex]
[tex]y-5=-2x+6[/tex]
[tex]y=-2x+6+5[/tex]
step 3
[tex]y=-2x+11[/tex]
therefore
In step 2, she didn’t use an x and y from the same coordinate pair
