Question

Write the equation of the line parallel to y = 3x -5 and that passes through(1, -7).

Answer 1

Explanation:

The line is parallel to y = 3x -5, meaning it has the same slope; therefore, we already know that our equation takes the form

`y=3x+b`

Now, the second requirement is that the line should pass through the point (1, -7), meaning it should satisfy the condition that when x = 1, y = -7. Putting in these values of x and y in the above equation gives

`-7=3(1)+b`
`-7=3+b`

subtracting 3 from both sides gives

`-10=b`

With the value of b in hand, we now have the equation of the line

`\boxed{y=3x-10}`

which is our answer!