Write the equation of a line perpendicular to 2y+x=4 and passes through the point (2,1)

Step-by-step explanation:

Recall perpendicular lines have negative-reciprocal slopes. Since the equation has a slope of (), any line perpendicular to it will have a slope of .

Therefore, we have the line:

where is the y-intercept.

We can plug in the point it passes through to find the final equation:

.

Therefore, the equation of the line perpendicular to   that passes through the point is:

(slope-intercept form)

However, since the initial line given is in standard form, re-write this equation to standard form:

.

a. is correct