a system of liner equations includes the line that is created by the equation y=x+3, graphed below and the line through the poin

Question

monitta

3 years ago

11

a system of liner equations includes the line that is created by the equation y=x+3, graphed below and the line through the poin

ts (3,1) and (4,3). A.(-1,2) B.(1,3) C.(8,11) D.(9,12)

Mathematics

2 answers:

MrMuchimi · Answer 1 · 2022-09-06T18:31:37+03:00

MrMuchimi3 years ago

6 0

Answer:

C

Step-by-step explanation:

k0ka [10] · Answer 2 · 2022-09-06T16:56:14+03:00

M=(y2-y1)/(x2-x1)= (3-1)/(4-3) =(2/1)= 2
y=mx+b. plug in one of the points for the second line and solve for b
1=2(3)+b
1=6+b
-5=b
plug b and m back into the equation y=mx+b
y=2x+-5
The solution to the system must make sense when plugged into both equations
C works because
y=x+3; 11=8+3
11=11 and
y=2x-5; 11=2(8)-5
11=11