After 6 weeks a corn plant is 2 ft tall after 9 weeks the plant is 8 ft tall write an equation that represents the height y in feet of the corn plant after x weeks

The equation would be y = 2x - 4

Step-by-step explanation:

In order to find the equation of the line, we first can express the two sets of data as an ordered pair. The two ordered pairs would be (6, 2) and (9, 8). Now that we have these, we can use the slope formula to find the slope.

m (slope) = (y2 - y1)/(x2 - x1)

m = (8 - 2)/(9 - 6)

m = 6/3

m = 2

Now that we have the slope, we can use either point and point slope form to get the equation.

y - y1 = m(x - x1)

y - 2 = 2(x - 3)

y - 2 = 2x - 6

y = 2x - 4

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

answer: it's d

step-by-step explanation: