Question

Given m = 9/2 and the point (0, 2), which of the following is the point-slope form of the equation?

Answer 1

y-2 = 9/2 (x-0)

Answer 2

The slope is obviously m = 9/ 2.

Maybe you need to calculate the line equation with these parameters.

Use the point-slope form of the line equation:

y - y1 = m ( x - x1 )

where

m = slope

x 1 and y1 are coordinates of point.

In this case:

m = 9 / 2

x1 = 0

y1 = 2

so

y - y1 = m ( x - x1 )

y - 2 = ( 9 / 2 ) ( x - 0 )

y - 2 = 9 / 2 x

By the way, point ( 0 , 2 ) is y-intercept

( the point where the line intersects the y axis )

If you want you can write this equation in slope-intercept form.

Add y1 to both sides of point-slope form equation.

y = m ( x - x1 ) + y1

In this case:

y = 9 / 2 x + 2