What is the slope-intercept form of the function described by this table?

1 answer:

3 0

For every change of x by 1, y increases by 5.

So the gradient of the line is 5.

To find the y-intercept:

y = mx + c
2 = 5(1) + c
2 = 5 + c
c = -3

So the equation of the line is y = 5x - 3

You might be interested in

Please help me with question 5

Fantom [35]

Use the left and right triangles. (the two smaller ones -- ACD and BCD)
By similar triangles ACD is similar to BCD
on the left AD/CD is one ratio
On the right CD/DB is the other. These two ratios are equal because they are corresponding parts.

AD / CD = CD / DB
AD = 3
DB = 12
CD = ??
Substitute.
3/CD = CD/12 Cross multiply
36 = CD^2
sqrt(36) = sqrt(CD^2)
CD = 6 <<<<==== Answer.
A <<<<====Answer.

7 0

3 years ago

A stone is thrown upward from ground level. With what minimum speed should the stone be thrown so as to reach a height of 36 fee

rusak2 [61]

V^2 = u^2 - 2gh; where v is the final speed, u is the initial speed, g = 9.8 m/s = 0.54 ft/min is the accerelation due to gravity, h = height.
At the maximum height, the final speed is 0.
u^2 = 2gh = 2 x 0.54 x 36 = 38.58
u = sqrt(38.58) = 6.21 ft/min

Therefore, the stne should be thrown with 6.21 ft/min

4 0

3 years ago

If 6-x=2(x-6) what is the value of x? need steps!!

V125BC [204]

6 - x = 2(x - 6)

the first step, following PEMDAS, is to distribute the 2 to the inside of your parentheses:
6 - x = 2x - 12 ... subtract 2x
6 - 3x = -12 ... subtract 6
-3x = -18 ... divide by -3
x = 6 is the answer

8 0

3 years ago

Read 2 more answers

21 points!!

exis [7]

Answer:

Simple multiplication gets you 124

Step-by-step explanation:

9x13=117

117+7=124

Maya now has 124 cookies

9 reps bags, 13 reps cookies, 7 reps cookies already had.