Answer: The slope is 9/2 or 4.5
The y-intercept is 0
The equation of the line is y = 4.5x or [tex]y =\frac{9}{2}x[/tex]
Step-by-step explanation: Using Slope intercept form, y = mx + b
m is the slope and b is the y-intercept.
Slope is rise/run.
The difference in y-values is 225. That is the rise
The difference in x values is 50, so that is the run.
225/50 can be simplified to 9/2 or 4.5
Use the calculated slope and any pair of values from the table to substitute for y and x in the equation and solve for b.
225 = 4.5(50) + b . Multiply mx
225 = 225 + b . Subtract 225 from both sides.
225-225 = b
0 = b
Rewrite the equation in slope-intercept form using the calculated values for m and b
When b is 0, it is omitted from the equation.
The resulting equation is
y = 4.5x or [tex]y =\frac{9}{2}x[/tex]
