Question

Which line is perpendicular to the line y=−74x
𝑦
=
−
7
4
𝑥
and goes through the point (−7,5)
(
−
7
,
5
)
?(1 point)
Responses

y=47x+9
𝑦
=
4
7
𝑥
+
9
y equals Start Fraction 4 over 7 End Fraction x plus 9

y=−47x+1
𝑦
=
−
4
7
𝑥
+
1
y equals negative Start Fraction 4 over 7 End Fraction x plus 1

y=−74x+5
𝑦
=
−
7
4
𝑥
+
5
y equals negative Start Fraction 7 over 4 End Fraction x plus 5

y=47x+5

Answer 1

Perpendicular slope = negative reciprocal of -7/4, which is 4/7. Use point-slope through (-7,5):

y - 5 = (4/7)(x + 7) → y = (4/7)x + 9.

So the correct choice is y = (4/7)x + 9.