Ill give brainliest

what is the solution to the equations of lines a and b?

a graph is shown with x- and y-axes labeled from 0 to 6 at increments of 1. a straight line labeled a joins the ordered pair 2, 6 with the ordered pair 6, 2. another straight line labeled b joins the ordered pair 0, 3 with the ordered pair 4.5, 6.

The solution is the point (3,5)

The graph in the attached figure

Step-by-step explanation:

step 1

Line A ----> (2,6),(6,2)

Find the equation of the line A

Find the slope

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

m=-1

Find the equation of the line into point slope form

The equation is equal to

y-y1=m(x-x1)

we have

m=-1

point (2,6)

substitute

y-6=-1(x-2)

y=-x+2+6

y=-x+8 ------> equation of the line A

step 2

Line B ----> (0,3),(4.5,6)

Find the equation of the line B

Find the slope

m=(6-3)/(4.5-0)

m=(2/3)

Find the equation of the line into point slope form

The equation is equal to

y-y1=m(x-x1)

we have

m=(2/3)

point (0,3)

substitute

y-3=(2/3)(x-0)

y=(2/3)x+3 ------> equation of the line B

step 3

Solve the system of equations by graphing

Remember that the solution of the system of equations is the intersection point both lines

The solution is the point (3,5)

see the attached figure

function 2 has a greater rate of change than function 1

function 2 has a greater y-intercept than function 1

step-by-step explanation: