Answer:
y=10x+15
Step-by-step explanation:
The slope intercept form is represent by this equation
[tex]y = mx + b[/tex]
Where m is the slope, and b is the y intercept( when x is zero).
Looking at the graph, we already found the y intercept.
When x=0, y is at 15 so our y intercept is 15 so our equation updated look like
[tex]y = mx + 15[/tex]
Now let find the slope
Slope is
[tex] \frac{change \: of \: y}{change \: of \: x} [/tex]
Let use two arbitrary points to find the slope
Let use (3,45) and 6,75).
[tex] \frac{75 - 45}{6 - 3} = \frac{30}{3} = 10[/tex]
So our slope is 10 so our equation look like
[tex]y = 10x + 15[/tex]
