SOLUTION: how to determine the slope of the line 7x-4y=12

Algebra ->  Linear-equations -> SOLUTION: how to determine the slope of the line 7x-4y=12      Log On


   



Question 637481: how to determine the slope of the line 7x-4y=12
Found 2 solutions by Alan3354, reviewermath:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
how to determine the slope of the line 7x-4y=12
-----------
Solve for y
It'll be in slope-intercept form, y = mx + b
The coefficient of x is the slope, m
-----
b is the y-intercept

Answer by reviewermath(1029) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 7+x+%2B+-4+y+=+12 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-7%2F-4.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 12/7 = 1.71428571428571.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 12/-4 = -3.
  • Slope is -7/-4 = 1.75.
  • Equation in slope-intercept form: y=1.75*x+-3.