SOLUTION: 6x-7y=-42 Find the x and y intercepts and graph the equation plotting the intercepts. Please show all of your work.

Algebra ->  Graphs -> SOLUTION: 6x-7y=-42 Find the x and y intercepts and graph the equation plotting the intercepts. Please show all of your work.       Log On


   

Question 464341: 6x-7y=-42 Find the x and y intercepts and graph the equation plotting the intercepts. Please show all of your work.
Answer by jorel1380(3719) About Me  (Show Source):
You can put this solution on YOUR website!
6x-7y=-42
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 6+x+%2B+-7+y+=+-42 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-6%2F-7.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. -42/6 = -7.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is -42/-7 = 6.
  • Slope is -6/-7 = 0.857142857142857.
  • Equation in slope-intercept form: y=0.857142857142857*x+6.
graph%28+500%2C+500%2C+-7-8%2C+-7%2B8%2C+6-8%2C+6%2B8%2C+0.857142857142857%2Ax%2B6+%29+