Write an equation for the line that passes through coordinates ( 2,5) and (6,7)

y = 1/2x + 4

work:

let's use slope-intercept form to help model this equation:

y = mx + b

in slope intercept form, m = slope, b = y-intercept, and using those, any x and y values along the line should make an accurate equation using the form.

okay, so start by finding the slope. to do this, subtract the y values over the x values.

7 - 5 / 6 - 2

2 / 4

1 / 2

so, the slope is 1/2. let's plug this into our equation.

y = 1/2x + b.

next, we need to isolate b, so plug in x and y values and solve for b.

5 = 1/2(2) + b

5 = 1 + b

4 = b

so, b = 4. add that into the equation.

y = 1/2x + 4

so, we have the values we need, your equation is complete! i hope this helps, and have a great day! don't hesitate to ask if you need more help with this specific question! ♥ - eviezoom

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2

he can buy 4lbs. of live bait and 1lbs of natural bait

step-by-step explanation: