# 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: