2. Determine the equation of a line with a y-intercept of \(-4\) and an x-intercept of \(6\).
3. Find the x-intercept of the line represented by the equation \(5x - 2y = 10\).
4. Given a line with a y-intercept of \(\displaystyle \frac{7}{2}\) and an x-intercept of \(-3\), write its equation.
5. Calculate the y-intercept of the line given by the equation \(3x + 4y = 24\).
6. If a line has a y-intercept of \(-5\) and passes through the point \((2, 0)\), what is its equation in intercepts form?
7. Find the equation of a line that passes through \((-1, 0)\) and \((0, 3)\) in intercepts form.
8. Determine the x-intercept of the line with the equation \(-2x + 6y = 18\).
9. What are the x and y intercepts of the line represented by the equation \(4x - y = 8\)?
10. Given a line with a y-intercept of \(\displaystyle \frac{9}{4}\) and an x-intercept of \(\displaystyle -\frac{2}{3}\), write its equation.
ANSWERS 1. The x-intercept is \(6\), and the y-intercept is \(4\).
2. The equation is \(y = \displaystyle \frac{1}{2}x - 4\).
3. The x-intercept is \(2\).
4. The equation is \(-7x + 6y = 21\).
5. The y-intercept is \(6\).
6. The equation is \(\displaystyle \frac{x}{2} - \frac{y}{5} = 1\).
7. The equation is \(- x +\displaystyle \frac{y}{3} = 1\).
8. The x-intercept is \(-9\).
9. The x-intercept is \(2\), and the y-intercept is \(-8\).
10. The equation is \(-27x + 8y = 18\).
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