Answer:
y = -3x -5
Step-by-step explanation:
Parallel lines are parallel because they never intersect. As such, they have the same slope. The equation 3x - y = 5 can be converted to slope intercept form to find the slope. The slope of the line y = -3x - 7 is -3. Substitute m = -3 and the point (-1,-2) into the point slope form of a line.
[tex]y -y_1 = m(x-x_1)\\y --2 = -3(x --1)\\y + 2 = -3(x+1)\\[/tex]
You can convert the equation to slope intercept form by using the distributive property.
y + 2 = -3(x+1)
y + 2 = -3x - 3
y = -3x - 5
