Write the equation in slope-intercept form that contains the following point with the given slope. slope= 2 ; (-3, 1)

y = 2x+7

Step-by-step explanation:

we need to start with point slope form

y-y1 = m(x-x1)

y-1 = 2 (x--3)

y-1 = 2(x+3)

distribute

y-1 = 2x+6

add 1 to each side

y-1+1 = 2x+6+1

y = 2x+7

this is in slope intercept form (y=mx+b)

the slope is 2 and the y intercept is 7

y = 2x + 7

Step-by-step explanation:

Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept (hence the name slope-intercept form).

You are given the slope and a point that the line goes through, so the best equation for a line to use is the point-slope form (why? because the name says POINT-SLOPE so that means if you have a point and a slope then this would be the ideal equation).

Point-slope form is y - y1 = m(x - x1). In this form you will be plugging the x and y coordinates of the point into y1 and x1, and plugging the slope in for m.

Substitute in the given slope and point into the point-slope form.

y - y1 = m(x - x1) ⇒ y - (1) = 2(x - (-3))

Take away the parentheses and simplify.

y - 1 = 2(x + 3) ⇒ y - 1 = 2x + 6

Add 1 to both sides of the equation.

y = 2x + 7 is your answer in slope-intercept form (y = mx + b).

how long did the flood last

step-by-step explanation:

then i will answer

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