Please help me with this question

Answers: Options A and D

A. The slope of m is -2/5

and

D. The slope of p is -5/2

Step-by-step explanation:

The slope is defined as the "change in y" over the "change in x" of a line. If you pick two points on a line --- (x1,y1) and (x2,y2) --- you can calculate the slope by dividing y2 - y1 over x2 - x1.

Line m goes through the points (-2,7) and (3,5). Slope = (y2 - y1)/(x2 - x1) = (5 - 7 )/(3 - -2) = -2/5

Line q goes through the points (6,15) and (0,0). Slope = (y2 - y1)/(x2 - x1) = (0 - 15 )/(0 - 6) = -15/-6 = 2.5 = 2 1/2 = 5/2

Line n goes through the points (-5,0) and (0,-2). Slope = (y2 - y1)/(x2 - x1) = (-2 - 0 )/(0 - -5) = -2/5

Line p goes through the points (6,15) and (10,5). Slope = (y2 - y1)/(x2 - x1) = (5 - 15 )/(10 - 6) = -10/4 = -2.5 = -2 1/2 = -5/2

Therfore the only true options are A and D

Step-by-step explanation:

Given

M = 27 when Y = 16 and X = 9

Required

Find Y when M = 7 and X = 2

We start by getting the algebraic representation of the given statement

Convert the variation to an equation; we have

Where K is the constant of variation;

When M = 27; Y = 16; X = 9, the expression becomes

This gives

Make K the subject of formula

Solving for Y when M = 7 and X = 2

Recall that

Substitute values for K, M and X

Take square of both sides

Make  Y the subject of formula