Thru (-1,1) and parallel to y =-2x+4

Answer 1

If a line is parallel to another line, they must have the same slope. That means that if a line is parallel to y=-2x+4, the slope of the line we want is -2.

We also know that the line we want passes through (-1, 1).

Then we have all we need to find the line, through the use of the point-slope form of the equation for a line.

The point-slope form states that for a line with slope m and passing through a point (x₁, y₁), the equation of the line can be written as

y - y₁ = m (x - x₁)

Plugging our values in gives us the equation

y - 1 = -2(x - (-1))

This is already an equation for the line, but with more work we can arrange it into the slope-intercept form of a line (which is what was used in the line given in the problem).

y - 1 = -2x - 2

y = -2x - 1