Answer:
[tex]y=3x-31[/tex]
Step-by-step explanation:
The equation of a line is given as:
[tex]y=mx+b[/tex]
Where
m is the slope
b is the y intercept (y-axis cutting point)
First, we see that the slope is given as 3, so,
m = 3
Also, the point is given as (12,5) [(x,y)], so we can say:
x = 12
y = 5
Now, we can write (with slope = 3):
y = 3x + b
Now plugging in x, and y values:
5 = 3(12) + b
5 = 36 + b
b = -31
Thus, equation of line is:
[tex]y=mx+b\\y=3x-31[/tex]