silemus.
← All examples
  1. 1Solving 7(x−2)=3x+10
  2. 2Solving a rational equation
  3. 3Solving 5−3x≤17
  4. 5Slope between two points
  5. 6Line through two points
  6. 7Slope and intercept from 3x−4y=12
  7. 8Parallel line through a point
  8. 10Solving a system by substitution
  9. 11Elimination, 2 equations
  10. 14Exponent rules, same base
  11. 15Fractional exponent, 27^(2/3)
  12. 17Simplifying root sums
  13. 20Solving 3^(x+1)=81
  14. 21Factoring x²−5x−24
  15. 23Difference of squares
  16. 24Quadratic formula
  17. 26Vertex of a parabola
  18. 27Discriminant of a quadratic
  19. 28One solution, discriminant=0
  20. 30Expanding a binomial times trinomial
  21. 31Evaluating f(-2)
  22. 34Exponential growth, 5% a year
  23. 35Half-life decay
  24. 37Solving |2x−5|=9
  25. 39Simplifying a rational expression

7Slope and intercept from 3x−4y=12

The line 3x − 4y = 12. Find its slope and its y-intercept.

The line has slope 3/4 and y-intercept −3, from rewriting 3x − 4y = 12 as y = (3/4)x − 3. Checking x = 0 in the original: 3(0) − 4y = 12 gives y = −3, matching the intercept.

How good is this answer?