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.

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !