Question

Select the equation in which the graph of the line has a negative slope, and the y-intercept equals 50.

Answer 1

Convert each one to the  form y = mx + b   where m=slope and b = y-intercept.

(a) 5y = 10x - 40

y = 2x -  8         m= 2 (positive slope) and  y-intercept = -8 so its not (a)

Answer 2

Answer:

The answer that represent a negative slope and a y-intercept 50 is letter C.

Step-by-step explanation:

The answers are represented like a general equation Ax + By + C = 0, so you need to clear "y" to find slope-intercept form of a line y=mx+b, where m is the slope and b is the intercept, so if you clear:

a) y = (10x - 40)/5 .... in this ecuation the slope is positive and the ininterception 40 negative.

b) y = (5x +12)/10 .... in this ecuation the slope is positive and the interception 12 positive.

d) y= (x-10)/2 .... in this ecuation the slope is positive and the interception 10 negative.

c) y = 50 - 5x, in this ecuation the slope is negative, and the interception 50 positive, so this is the correct answer.