Question

Plz help my grade went down

Answer 1

it’s 1/4 because if you apply the formula you just get that so m=1/4

Answer 2

Slope = -4

Explanation:

Perpendicular lines have negative reciprocal slopes, which means that multiplying their slopes result in a product of -1. Given the equation, x - 4y = - 12:

Transform the equation into its slope-intercept form, y = mx + b:

x - 4y = - 12

x - x - 4y = - x - 12

-4y = -x - 12

Divide both sides by -4:

`(-4y)/(-4) = (-x - 12)/(-4)`

y = ¼x + 3 ⇒ (This is the slope-intercept form of the given standard equation, x - 4y = - 12).

Since the slope of the given equation is ¼, then it means that its negative reciprocal must be - 4:

(¼) (-4) = -1

Therefore, the slope of the line perpendicular to x - 4y = - 12 is - 4.