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.

Respuesta :

[tex]y = 3x - 13[/tex]

Step-by-step 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

[tex]y = 3x + b[/tex]

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

[tex](-4) = 3(3) + b \Rightarrow b = -13[/tex]

So the equation of the line is

[tex]y = 3x - 13[/tex]