The gradient and y-intercept of the straight line 2x − 3y = 4 are respectively
A
\(\frac{2}{3}\) and \(\frac{-4}{3}\)
B
\(\frac{-2}{3}\) and \(\frac{4}{3}\)
C
\(\frac{2}{3}\) and \(\frac{4}{3}\)
D
\(\frac{-2}{3}\) and \(\frac{-4}{3}\)
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
Rewrite the equation in slope-intercept form: y = mx + c
2x - 3y = 4
-3y = - 2x + 4
y = \(\frac{2}{3}x - \frac{4}{3}\)
- Gradient (slope): m = \(\frac{2}{3}\)
- \(y\)-intercept c = -\(\frac{4}{3}\)
Source: WAEC / JAMB / NECO Classroom Archive (Record #78176)