What similarities and differences do parallel lines have?
y=- x-1
Practice makes perfect
When lines are parallel they have the same slope. With this, we know that all lines that are parallel to our given line will have a slope of -1.
y=- x+8 ⇔ y=-1x+8
If we write the desired equation in slope-intercept form, y=mx+b, we can add this slope.
y=-1x+ b
To determine the value of b, we can use the fact that our line must pass through point (3,-4). Let's substitute x= 3 and y= - 4 into the equation and solve for b.