SOLUTION: Find the point slope form of a line with Slope: −6 that passes through (−1,4) (y− )= (x− ) Write the line in slope intercept form below: y=

Algebra ->  Linear-equations -> SOLUTION: Find the point slope form of a line with Slope: −6 that passes through (−1,4) (y− )= (x− ) Write the line in slope intercept form below: y=       Log On


   

Question 998447: Find the point slope form of a line with Slope: −6 that passes through (−1,4)
(y− )= (x− )
Write the line in slope intercept form below:
y=
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Point-slope form comes from the definition for slope of a line.
If two points (x,y) and (p,v) the number, m, for slope is m=%28y-v%29%2F%28x-p%29.
m%28x-p%29=%28%28y-v%29%2F%28x-p%29%29%28x-p%29
m%28x-p%29=y-v
highlight_green%28y-v=m%28x-p%29%29------the point-slope form for a line.

Use your given values and just substitute. That's it!
y-4=-6%28x-%28-1%29%29
and you might want the simple simplification,
highlight_green%28y-4=-6%28x%2B1%29%29.

Change from the point-slope form into the slope-intercept form: SIMPLE algebra.
If starting in general with y-v=m%28x-p%29
(But watch your signs very carefullly);
y=m%28x-p%29%2Bv
y=mx-mp%2Bv
and then either as highlight%28y=mx-%28mp-v%29%29 or highlight%28y=mx%2B%28v-mp%29%29.