Question

How do you write an equation of the line that has slope 2/3 and passes through point (-6, 4)?

Answer 1

The equation you are looking for is: `y=2/3x+8`

Explanation:

In the general equation of a line: `y=ax+b` `a` is the slope, so the equation we are looking for can be written as: `y=2/3x+b`. Now we have to find such value for `b` to satisfy the second condition (line passes through (-6,4)). To do this we have to substitute `-6` for `x` and `4` for `y`.

`4=2/3*(-6)+b`

`4=-4+b`

`b=8`

Answer: The line has equation: `y=2/3x+8`