Applications: The straight line test questions

1

What is the gradient of the straight line through the points \(R(4,0)\) and \(S( - 2,1)\)?

2

What is the gradient of the straight line through the points \(A(6,2)\) and \(B(4, - 1)\)?

3

Find the midpoint of \(A( - 7,4)\) and \(B(3, - 2)\).

4

Find the equation of the straight line parallel to \(2y = 3x - 7\) and passing through \((0.5, - 1)\).

5

Calculate the distance between \(A( - 2, - 3)\) and \(B(3, - 4)\).

6

A straight line which passes through the points A(-1, 3) and B(k, 4) has a gradient of \(\frac{5}{4}\) What is the value of k?

7

What is the gradient of the line with equation \(3y - 7x + 4 = 0\)?

8

What is the gradient of the line with equation \(3x + 2y = 5\)?

9

A line perpendicular to the \(x\) axis has an equation in which of the following forms?

10

A line with equation \(y = mx + c\) is perpendicular to a line with equation \(y = px + q\) if: