Question

Use the table to determine slope and y intercept.

Answer 1

Answer:  The slope is 9/2 or 4.5

The y-intercept is 0

The equation of the line is y = 4.5x  or  $y =\frac{9}{2}x$

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 $y =\frac{9}{2}x$