I WILL GIVE BRAINLIEST TO THE PERSON THAY CORRECTLY ANSWERS THIS AND EXPLAINS.

Y=14x+19 4

Explanation:The equation of a line in slope-intercept form is.∙x y = m x + b where m is the slope and b the y-intercept Rearrange
y + 4 x = 7 into this form subtract 4x from both sides y + 4 x − 4 x = − 4 x + 7 ⇒ y = − 4 x + 7 ← in slope-intercept form with slope m = − 4
Given a line with slope m then the slope of a line perpendicular to it is ∙x m perpendicular = − 1 m ⇒ m perpendicular
= − 1 - 4 = 1 4 ⇒ y = 1 4 x + b ← is the partial equation To find b substitute (1,5) into the partial equation
5 = 1 4 + b ⇒ b = 20 4 − 1 4 = 19 4 ⇒ y = 1 4 x +
19 4 ← equation of perpendicular

The correct answer is: b