MATH SOLVE

5 months ago

Q:
# Helena wrote the equation using point-slope form for the line that passes through the points (5, 1) and (3, 5). Analyze the steps of her work using the point-slope form to write the equation. equation In which step did Helena make an error? In step 1, she substituted the x values for y and the y values for x. In step 2, she didn’t use an x and y from the same coordinate pair. In step 3, she solved for the wrong variable. Helena did not make an error.

Accepted Solution

A:

Answer:In step 2, she didn’t use an x and y from the same coordinate pairStep-by-step explanation:see the attached figure to better understand the problemwe have the points (5, 1) and (3, 5)step 1Find 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 2The 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]thereforeIn step 2, she didn’t use an x and y from the same coordinate pair