Answer:
(Point Slope Form)
OR
(Slope Intercept Form)
Explanation:
Since we are looking for a parallel line, we know that the slope "m" must be equivalent to the slope of the line given in the problem (-1/4)
Given the point it passes through, we know that the point x = 2 and y = -3 exist on the line.
Now, we will use Point Slope Form (Below):
Apply Point Slope Form:
Simplify:
This is your answer in Point Slope Form. Some instructors prefer students to evaluate their answers to slope-intercept form, so I will do that below. Both answers are equivalent and are thus valid.
Distribute -1/4:
Subtract 3 from both sides:
This is your answer in Slope Intercept Form. Again, both equations will present the same line if graphed.