Question

Help me with this I can’t figure it out

Answer 1

y = 4x + 6

Explanation:

Equation

y= mx + b

Givens

See table

Solution

• Start with x = 0. It is always a good place to start.
• x = 0
• y = 6
• y = mx + b
• 6 = m*(0) + b
• 6 = b
• So far what you have is y= mx + 6
• Choose any point to find m
• I'll use (3,18)
• y = mx + 6
• 18 = 3*m+ 6 Subtract 6 from both sides
• 18 - 6 = 3m + 6 -6 combine
• 12 = 3m Divide by 3
• 12/3 = 3m/3 Divide
• 4 = m

y = 4m + 6 Answer

Answer 2

y = 4x+6

The input is 11 when the output is 50

Explanation:

We need to find the slope of this function using 2 points

(3,18) and (0,6) are two points

m = (y2-y1)/(x2-x1) is the formula for slope

=(6-18)/(0-3)

-12/-3

=4

The slope is 4

We know the y intercept. It is the value when x =0. The y intercept is 6

We can use the slope intercept form of the equation

y = mx+b, where m is the slope and b is the y intercept.

y = 4x+6

We want to know the input when the output is 50 (or y=50)

50 = 4x+6

Subtract 6 from each side

50-6 = 4x+6-6

44 = 4x

Divide by 4

44/4 = 4x/4

11=x

The input is 11