SOLUTION: A line goes through the point (4,3) and has a slope of -3/2. Graph this line.

Algebra ->  Linear-equations -> SOLUTION: A line goes through the point (4,3) and has a slope of -3/2. Graph this line.      Log On


   

Question 351106: A line goes through the point (4,3) and has a slope of -3/2. Graph this line.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
A line goes through the point (4,3) and has a slope of -3/2. Graph this line.
.
The equation can be found by plugging the given info into the "point-slope" form:
y - y1 = m(x - x1)
y - 3 = (-3/2)(x - 4)
y - 3 = (-3/2)x + 6
y = (-3/2)x + 9
.
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 1.5+x+%2B+1+y+=+9 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-1.5%2F1.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 9/1.5 = 6.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 9/1 = 9.
  • Slope is -1.5/1 = -1.5.
  • Equation in slope-intercept form: y=-1.5*x+9.
graph%28+500%2C+500%2C+6-8%2C+6%2B8%2C+9-8%2C+9%2B8%2C+-1.5%2Ax%2B9+%29+