Question

I already did the graph I just need to know what the equation of the line in slope-intercept form is.

Answer 1

y=4x+5

Explanation:

(X)TIME-------(Y)HEIGHT

1--------------------9

2-------------------13

3-------------------17

4-------------------21

5------------------25

FORMULA= y = m(x) + b

m= y
`{2}`-y1 / x2-x1, m= 25-21 / 5-4

m= 4 / 1, m=4

y= 4x+b

substitute IN THE Y AND X

17 = 4(3) +b, 17= 12+ b

-12 -12

5=b

Y= 4X+B

VERIFY

y= 4x +5

25= 4(5)+5, 25 = 20+5, 25=25

Answer 2

y = 3.75x+5

Explanation:

*** some of your points might be wrong ***

1. Take two points on the line. Ex: (0, 5) and (4, 20)

2. Find the slope using the change in y divided by the change in x.

Ex: m=(20 - 5)/(4 - 0) = 15/4 -> m= 3.75

3. Look at the graph for the y-intercept (when x =0)

y -intercept -> b = 5

Check:

y = mx + b; m = 3.75 (4, 20) -> x= 4 and y =20

20 = 3.75(4) + b

20 = 15 + b

5 = b

4. plug in to slope-intercept form: y = mx +b

y = 3.75x+5