Question

Determine the equation of the line that passes through the point ( - 4, 21) and is parallel to the line y = - 4x + 1

Answer 1

• The equation of the original line is y = -4x + 5.

Explanation:

Let's create a coordinate plane to determine the original equation.

We know that:

• Slope of parallel line = -4
• y-intercept of parallel line = 1
• The original line and the parallel line are different by y-intercepts and are same in slope.
• Original line = Colored in green
• Parallel line = Colored in red

Using this information, let's graph the line on the coordinate plane.

My graph is uploaded in the image.

If we look at the picture, we can clearly tell that the equation of the original line is y = -4x + 5.