SOLUTION: Find an equation of the line given slope and containing the given point. M=2/3,(7,-4). The equation of the line is y=?

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the line given slope and containing the given point. M=2/3,(7,-4). The equation of the line is y=?      Log On


   

Question 860080: Find an equation of the line given slope and containing the given point. M=2/3,(7,-4). The equation of the line is y=?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
You have a choice. One is use point-slope form of a linear equation and plugin the values and simplify. Another is solve for b, the y-intercept using slope-intercept form of a linear equation. They are both good methods, and they both require a little bit of work but not too much.

SLOPE-INTERCEPT METHOD
y=mx%2Bb
b=y-mx
b=-4-%282%2F3%297
b=-4-14%2F3=%28-12-14%29%2F3
b=-26%2F3
-
Equation with that given point and slope is highlight%28y=%282%2F3%29x-26%2F3%29 or highlight%28y=%282%2F3%29x-8%262%2F3%29.