Which term best describes the set of all points in a plane for which the sum
of the distances to two fixed points equals a certain constant?

elipse

step-by-step explanation:

in mathematics, an  ellipse  is a curve in a plane surrounding two focal points such that the sum of the distances to the two focal points is constant for every point on the curve. as such, it is a generalization of a circle, which is a special type of an  ellipse having both focal points at the same location.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

they go with it happens or they mite give a chance?

step-by-step explanation: