SOLUTION: Find the x-intercept and y-intercept of the equation 5x − 3y = 30.
Algebra
->
Linear-equations
-> SOLUTION: Find the x-intercept and y-intercept of the equation 5x − 3y = 30.
Log On
Algebra: Linear Equations, Graphs, Slope
Section
Solvers
Solvers
Lessons
Lessons
Answers archive
Answers
Click here to see ALL problems on Linear-equations
Question 7487
:
Find the x-intercept and y-intercept of the equation 5x − 3y = 30.
Answer by
ichudov(507)
(
Show Source
):
You can
put this solution on YOUR website!
Solved by
pluggable
solver:
DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation
describes a sloping line. For any
equation ax+by+c = 0, slope is
.
X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 30/5 = 6.
Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 30/-3 = -10.
Slope is -5/-3 = 1.66666666666667.
Equation in slope-intercept form: y=1.66666666666667*x+-10.