Question

The first point has coordinates left parenthesis negative 8 comma 0 right parenthesis. The second point has coordinates left parenthesis 0 comma 4 right parenthesis.


Calculate the equation of a line that is perpendicular to the line shown on the graph and that also shares the same y-intercept.

(1 point)
Responses

y=−12x+4
𝑦
=
−
1
2
𝑥
+
4

y equals negative Start Fraction 1 over 2 End Fraction x plus 4

y=−2x+4
𝑦
=
−
2
𝑥
+
4

y equals negative 2 x plus 4

y=12x−8
𝑦
=
1
2
𝑥
−
8

y equals Start Fraction 1 over 2 End Fraction x minus 8

y=2x−8

Answer 1

Slope of the given line = (4−0)/(0−(−8)) = 4/8 = 1/2.
Perpendicular slope = −1/(1/2) = −2.
Same y-intercept 4 gives y = −2x + 4.

Answer: y = −2x + 4.