Answer:
The equation of the line with a y-intercept of 4 and a point (8,8) is [tex]y=\frac{1}{2} *x+4[/tex]
Step-by-step explanation:
A linear equation can be expressed in the form
y = m * x + b
where x and y are coordinates of a point, m is the slope and b is the y-intercept. Since this equation describes a line in terms of its slope and its y-intercept, this equation is said to be in its slope-intercept form.
Graphically this equation represents a line.
In this case, you know:
- The point (x,y)=(8,8)
- Y-intercept= 4
Replacing:
8=m*8 +4
Solving:
8-4=m*8
4=m*8
4÷8= m
[tex]m=\frac{1}{2}[/tex]
Then, the equation of the line with a y-intercept of 4 and a point (8,8) is [tex]y=\frac{1}{2} *x+4[/tex]
