Question

Write an equation of a line in slope intercept form that passes through (6,5) 1 poi

and is parallel to y =-X+4 *

Answer 1

y = -x + 11

Explanation:

The slope of the line y = -x + 4 is -1.

So the slope of our line is also -1 ( because they are parallel).

First use the point-slope form of the equation of a line:

y - y1 = m(x - x1) where m is the slope and (x1, y1) is a point on the line.

Here m = -1 and (x1, y1) = (6, 5).

So we have:

y - 5 = -1(x - 6)

y - 5 = -x + 6

y = -x + 11 <------ Slope intercept form.