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