Question

Time(h)

Distance (mi)
12 3 4 5
14 26 38 50 62
The table shows Eli's distance from home as he
rides his bike at a steady rate after meeting a
friend. Write an equation in slope-intercept form
that represents the miles, y, that Eli goes in x hours.
y = 12x + 2
y = 2x + 2
y = 12x + 12
y = 2x + 12

Answer 1

y = 12x + 2

Explanation:

To know:

[] These equations are in y = mx + b form

() Also known as slope-intercept form

() m is the slope

() b is the y-intercept

Now, let's solve

[] Slope / m

() Slope is "change in y over change in x," let hours be our x and distance by our y

()
`(62 - 14)/(5 - 1)=(48)/(4)=12`

[] Y-intercept / b

() We will plug in a set of points into our current equation, then solve for b

() y = mx + b -> y = 12x + b -> 14 = 12(1) + b -> 14 = 12 + b -> 2 = b

Last, we will find our answer

Our b is 2, and our m is 12. This leaves us with option 1, y = 12x + 2

Have a nice day! - table I made is attached

I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather