Question

Which statements are true about the graph of this line? 1. The slope is increasing 2. y=x-23. The slope is decreasing 4. y=x+2

Answer 1

1. The slope is increasing

2. y=x-2

Step-by-step explanation:

First we need to get the slope of the line. Using the coordinate points;

(6,4) and (2, 0)

Slope m = y2-y1/x2-x1

m = 0-4/2-6

m = -4/-4

m = 1

Since the slope is a positive value, hence the slope is increasing

Get the intercept

Substitute m = 1 and (2, 0) into y = mx+c

0 = 2(1) + c

0 = 2+c

c = -2

Get the required equation

y - mx+c

y = 1x + (-2)

y = x - 2

Hence the correct option is slope is increasing and y = x-2