Answer:
The system of equations has one solution. The two equations are intersecting lines.
Step-by-step explanation:
if you want to use the substitution method, you would have to plug in y for 12x+2 in the second equation.
2(12x+2)=x+4
next, you have to distribute
24x+4=x+4
subtract 24x from each side
4=-23x+4
subtract 4 from each side
0=23x
divide each side by 23
x=0
now, plug in 0 to one equation.
y=12(0)+2
y=2
the lines intersect at one point, (0,2)
Answer:
y = 3x + 62
Step-by-step explanation:
Trend line equation in the form :
y = mx + b
m = slope
b = intercept
Using the points :
(0, 62) ; (6, 80)
Slope, m = Rise / Run = (y2-y1) / (x2 - x1)
y2 = 80 ; y1= 62 ; x2 = 6 ; x1 = 0
m = (80 - 62) / (6 - 0)
m = 18 / 6
m = 3
Intercept, b = value of y when x = 0
(0, 62) ; hence, b = 62
y = 3x + b
y = 3x + 62
