Answer:
y=3/4x +3
Step-by-step explanation:
Find the slope first. y-y over x-x
Y: 9-6 =3
X 8-4 = 4
so the slope is 3/4
Now choose one of the ordered pairs to use to substitute to find the y intercept or "b" in y=mx + b
I chose 4,6 since the slope has a 4 in the denominator
Use y=mx + b
Y =6 from ordered pair m/slope= 3/4 x= 4 from ordered pair and you are looking for b
6= 3/4 (4) + b
6= 12/4 or 3 + b subtract 3 from both sides
3= b
equation is y=3/4x +3
Answer:
p= 2.5
q= 7
Step-by-step explanation:
The lines should overlap to have infinite solutions, slopes should be same and y-intercepts should be same.
Equations in slope- intercept form:
6x-(2p-3)y-2q-3=0 ⇒ (2p-3)y= 6x -2q-3 ⇒ y= 6/(2p-3)x -(2q+3)/(2p-3)
12x-( 2p-1)y-5q+1=0 ⇒ (2p-1)y= 12x - 5q+1 ⇒ y=12/(2p-1)x - (5q-1)/(2p-1)
Slopes equal:
6/(2p-3)= 12/(2p-1)
6(2p-1)= 12(2p-3)
12p- 6= 24p - 36
12p= 30
p= 30/12
p= 2.5
y-intercepts equal:
(2q+3)/(2p-3)= (5q-1)/(2p-1)
(2q+3)/(2*2.5-3)= (5q-1)/(2*2.5-1)
(2q+3)/2= (5q-1)/4
4(2q+3)= 2(5q-1)
8q+12= 10q- 2
2q= 14
q= 7
Center:
Center is a point in space, which is at equal distance from all the others points in that space.
Answer:
1/500
Step-by-step explanation:
