Question

Write the slope intercept form of the equation of the line through (-4,5), parallel to y equals -9/4x-3

Answer 1

`y=-(9)/(4) x-4`

Explanation:

If we are finding a line parallel to the given one, we need to use the same slope. That is, our new line should have a form like:

`y=-(9)/(4) x+b`

We can determine the value of "b" by using the condition that we want the line to go through the point (-4,5), therefore when x=-4, the y value for that line should be 5. In mathematical terms:

`y=-(9)/(4) x+b\\5=-(9)/(4) (-4)+b\\5=9+b\\b=5-9=-4`

Therefore our new line parallel to the given one is:

`y=-(9)/(4) x-4`