Question

Write an equation of the line that passes through (-1,3) and is parallel to the line y=-3x+2

Answer 1

Parallel Lines

Slope-intercept form:
`y=mx+b`

• m = slope
• b = y-intercept

Parallel lines always have the same slopes and different y-intercepts.

Solving the Question

We're given:

• Parallel to
  `y=-3x+2`
• Passes through (-1,3)

Because parallel lines have the same slopes, this line therefore has a slope of -3.

`y=-3x+b`

Now, plug in the given point to solve for b:

`3=-3(-1)+b\\3=3+b\\b=0`

Therefore:

`y=-3x`

Answer

`y=-3x`