Answer: y=4x+6
Step-by-step explanation: you replace the variables in the equation with the variables in the point given to find b.
Answer:
[tex]y = 4x+6[/tex]
Step-by-step explanation:
Equation of a line
The equation of a line can be written in the form:
[tex]y = mx+b[/tex]
Where m is the slope of the line and b is the y-intercept. We are given the value of m=4, thus the equation becomes:
[tex]y = 4x+b[/tex]
To find the value of b, we use the point (0,6):
[tex]6=4*0+b[/tex]
Solving:
[tex]b=6[/tex]
Thus, the equation in slope-intercept form of the required line is
[tex]\boxed{y = 4x+6}[/tex]
