Answer: Two lines that intersect at about three halves comma negative 3. One line has a positive slope and the other has a negative slope.
Step-by-step explanation:
Given equations of line:
y = 2x – 6 ...(i)
y = –4x + 3 ...(ii)
On comparing with y=mx+c (slope-intercept form), where m= slope ,= y-intercept.
(i) has positive slope (2) and (ii) has negative slope(-4).
Eliminate (ii) from (i), we get
0 = 6x-9
⇒ 6x=9
⇒ [tex]x=\dfrac32[/tex]
Put value of x in (i), we get
[tex]y=2(\dfrac32)-6\\\\\Rightarrow\ y=3-6=-3[/tex]
Point of intersection = (three halves, negative 3)
Answer:
d
Step-by-step explanation:
Two lines that intersect at the origin. One line has a positive slope and the other has a negative slope
