Question

Write the slope intercept form that satisfies the following conditions

11. Passes through the point
(3,-4) and is parallel to the
line y = 3x - 5.

Answer 1

`y = 3x - 13`

Explanation:

The line will have the same slope as the given line, which is m = 3. Therefore, the equation of the line in its slope-intercept form is

`y = 3x + b`

Next we need to solve for b by plugging in the coordinates of the given point:

`(-4) = 3(3) + b \Rightarrow b = -13`

So the equation of the line is

`y = 3x - 13`