SOLUTION: Write the point-slope form of the equation with the given characteristics. 1. slope=2 ; y-intercept=3 2. slope=-2 ; passes through (-3,5) 3. parallel to the line

Algebra ->  Linear-equations -> SOLUTION: Write the point-slope form of the equation with the given characteristics. 1. slope=2 ; y-intercept=3 2. slope=-2 ; passes through (-3,5) 3. parallel to the line       Log On


   

Question 1009632: Write the point-slope form of the equation with the given characteristics.

1. slope=2 ; y-intercept=3

2. slope=-2 ; passes through (-3,5)

3. parallel to the line y=3/5x-8 ; passes through (0,-3)

4. perpendicular to the line y=-2x-7 ; passes through (-3,10)
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Point-slope form equation comes from formula for slope according to its definition.

Points (p,w) and (x,y) have a slope m=%28y-w%29%2F%28x-p%29.
m%28x-p%29=%28%28y-w%29%2F%28x-p%29%29%28x-p%29
m%28x-p%29=y-w
highlight_green%28y-w=m%28x-p%29%29------point-slope equation form, slope m, known point (p,w).


You will handle questions 1 and 2 yourself.

#3, if parallel, then slope is the same.
y-%28-3%29=%283%2F5%29%28x-0%29
highlight%28y%2B3=%283%2F5%29x%29

#4, if perpendicular, then slope to use is the negative reciprocal.
y-10=%281%2F2%29%28x-%28-3%29%29
highlight%28y-10=%281%2F2%29%28x%2B3%29%29