Questions covered in Basic

Review the question prompts below before starting the timed test. Try each problem independently, then use the interactive test to record your answers and review the worked solutions.

1. The slope of the line joining the points $(3, -2)$ and $(-1, 4)$ is
2. The equation of a line parallel to the x-axis and passing through the point $(0, -2)$ is
3. The slope of a line perpendicular to the line $x - 2y + 3 = 0$ is
4. The distance of the origin from the line $3x + 4y - 10 = 0$ is
5. The x-intercept of the line $2x - 3y + 6 = 0$ is
6. Find the equation of a line with slope 2 and y-intercept 3.
7. Find the angle between the lines whose slopes are $1/2$ and $3$.
8. Find the distance between the parallel lines $3x - 4y + 7 = 0$ and $3x - 4y + 5 = 0$.
9. Find the equation of the line passing through the points $(1, 2)$ and $(3, 6)$.
10. Reduce the equation $x + y - \sqrt{2} = 0$ into normal form. Find the values of $p$ and $\omega$.
11. Find the equation of the line passing through the intersection of the lines $x - y + 1 = 0$ and $2x + y - 4 = 0$ and parallel to the line $3x + 4y = 0$.
12. Case Study: A triangle has vertices $A(2, 3), B(4, -1)$ and $C(1, 2)$.
    (i) Find the length of side BC.
    (ii) Find the slope of the altitude drawn from A to BC.
    (iii) Find the equation of the altitude from A to BC.