The graph shows two 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 5, 0. another straight line labeled b joins the ordered pair 0, 2 with the ordered pair 6, 6.
part a: how many solutions does the pair of equations for lines a and b have? explain your answer.
part b: what is the solution to the equations of lines a and b? explain your answer.

solution is : (4,4)

Step-by-step explanation: there will be one solution because the lines intersect at exactly one set of points.

(0,6)(6,3)

slope(m) = (3-6) / (6-0) = -3/6 = -1/2

y = mx + b

6 = -1/2(0) + b

6 = b

y = -1/2x + 6

(0,0)(6,6)

slope(m) = (6-0) / (6-0) = 6/6 = 1

y = mx + b

6 = 1(6) + b

6 = 6 + b

6 - 6 = b

0 = b

y = x + 0

x = -1/2x + 6

1/2x + x = 6

1/2x + 2/2x = 6

3/2x = 6

x = 6/(3/2)

x = 6 * 2/3

x = 12/3 = 4

P.S. I'm pretty sure the other guy is drunk XD

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is