Progress What is an
equation of the line that passes through the points (4, -6) and
(8, –4)?

Hope this helped!

Step-by-step explanation:

1) y2-y1/x2-x1 = -5-1/4-2 = -6/2 = -3

2) The triangles are proportional to each other because, the bigger triangles AB(base) to BC(height) ratio is 8:4, which if simplified would be 4:2, and the smaller triangles is 4:2, which is the same. In other words, both of the triangles are the same.

3) y=0.15x, so the slope is 0.15, and each pencil costs 15 cents, or 0.15 dollar.

4) y=55x, where x=5, so y=55(5)=275.

The bus will travel 275 miles in 5 hours.

5) Slope-intercept form : y=mx+b, where m=slope, and b=y-int.

So, C = 15t+4 is the equation.

6) Yes, this graph does show a proportional relationship, because it costs $1 for every 10 photos, and this ratio is same for every amount of photos.

7) y-y1 = m(x-x1)

y-6 = 4(x-4)

y-6 = 4x - 16

y = 4x - 10

8) Olivia: y=2x

   Matt: y=3x

Matt travels at a faster rate, and I know this because Matt walks at 3 miles per hour, while Olivia walks 2 miles per hour, and obviously 3 mph is faster than 2 mph.