QUESTION 1
We want to find the equation of the straight line that passes through the point

and has slope

We use the point slope formula

to obtain,

We multiply through by 10 to get,

We expand bracket to get,

We group the constants on the right hand side to get,

we simplify to get,

Divide through by 2,

or

The correct answer is H.
QUESTION 2
We want to find the equation of a line that passes through

with slope

We apply the point slope formula

to obtain,



The correct answer is J.
QUESTION 3
We want to find the equation of the straight line that passes through,

and has slope

We apply the point-slope formula

to obtain,

Let us multiply through by 4 to get,

We group the constant terms on the right hand side to obtain,

This simplifies to,

We multiply through by -1 to get,

The correct answer is A.