Algebra practice question

Answer: -3/2 or -1.5 or −3/2 or −1.5

Substitute (2, 1): 2a + 2 = 8, so a = 3. The line 3x + 2y = 8 rearranges to y = −(3/2)x + 4, so the slope is −3/2.

Common wrong answers

If you answered 3

3 is a, the coefficient of x, not the slope; solve for y to find the slope.

If you answered 1.5

1.5 has the wrong sign; moving 3x across gives −3x.

If you answered -3

−3 forgets to divide by the coefficient of y, 2.

More Algebra questions

• Very hard
  For what value of c does the system 3x − 2y = 8 and 9x + cy = 5 have no solution?
• Very hard
  In the system 5x + 4y = 32 and 3x − 2y = 6, what is the value of 8x + 2y?
• Very hard
  The solution set of the inequality |ax − b| ≤ 6, where a and b are constants and a > 0, is 3 ≤ x ≤ 9. What is …
• Very hard
  The function f is linear, and for every value of x, f(x + 2) − f(x) = 6. If f(5) = 4, what is the value of f(0…
• Very hard
  In the system of equations 2x + 3y = 12 and 5x − 2y = k, where k is a constant, the solution (x, y) satisfies …
• Very hard
  In the xy-plane, the system of equations kx + 6y = 12 and 2x + (k − 1)y = 6, where k is a constant, has infini…